The volume of a cylinder is given by the formula V = pier2, where r is the radius of the cylinder and h is the height. Suppose a cylindrical can has radius (x + 8) and height (2x + 3). Which expression represents the volume of the can?

Answers

Answer 1

Answer:

The volume of the cylinder is defined by the expression .

[tex]V=\pi (x+8)^2 (2x+3) or V=\pi (2x^3 + 35x^2 + 176x +192)[/tex]

Answer 2

The volume of the cylinder where the radius is r = ( x + 8 ) and height is h = ( 2x + 3 ) is given by the expression V = π ( 2x³ + 35x² + 176x + 192 ) units³

What is a Cylinder?

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

Surface area of cylinder = 2πr ( r + h )

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

Let the volume of the cylinder be V

Now , the radius of the cylinder is r = ( x + 8 ) units

The height of the cylinder is h = ( 2x + 3 ) units

And , Volume of Cylinder = πr²h

On simplifying , we get

The volume of cylinder V = π ( x + 8 )² ( 2x + 3 ) units³

The volume of cylinder V = π ( x² + 16x + 64 ) ( 2x + 3 )

The volume of cylinder V = π ( 2x³ + 35x² + 176x + 192 ) units³

Hence , the volume of cylinder is V = π ( 2x³ + 35x² + 176x + 192 ) units³

To learn more about cylinder click :

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Related Questions

You have entered a pie baking contest. In the contest, you must make several pies for the judges to taste. You will make your famous strawberry pie to compete with the other bakers. Utilize your skill with fraction to make correct calculations. You need to use 4/5 strawberries for a single pie, How many cups are needed for 2 pies?

Answers

Answer:

x=2.5 cups are needed  for 2 pies

Step-by-step explanation:

4/5 or 0.8

Fraction form: 4/5x = 2   x= 5/4

Decimial form: 0.8x = 2   x = 2.5

Mixed number form: 2 1/2

Hope that helped :)

Quadrilateral ABCD is inscribed in a circle. If angle B measures 112°, what is the measure of angle D?

Answers

Answer:

68°

Step-by-step explanation:

If a quadrilateral is inscribed in a cirle, the sum of its opposite angles is 180°. Angles B and D are opposite => B+D=180° => D=180°-B=180°-112°=68°

Answer:

68°

Step-by-step explanation:

Since angles B and D are opposite each other, they are supplementary.

what is the y-intercept of this quadratic?

Answers

Answer:

The y-intercept is the value at which the graph of the function intersects the y-axis. Every quadratic has a (single) y-intercept. The reason for this is that the y-intercept is the function value at x = 0, and we can always substitute x = 0 into the quadratic.

The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 2, 9), and goes through (1, 0). Which statement about the function is true? The domain of the function is all real numbers less than or equal to −2. The domain of the function is all real numbers less than or equal to 9. The range of the function is all real numbers less than or equal to −2. The range of the function is all real numbers less than or equal to 9.

Answers

Answer:

A≈1075.21

d Diameter

37

d

r

r

r

d

d

C

A

Using the formulas

A=

π

r

2

d=

2

r

Solving forA

A=

1

4

π

d

2

=

1

4

π

37

2

1075.21009

Step-by-step explanation:

ABCD and EFGH are rectangles with AB=10cm ,BC=7cm ,EF=7cm and FG =4cm ,all figures accurate to the nearest cm . Find the largest possible value of the shaded area . *

Answers

Answer:

42 cm^2

Step-by-step explanation:

Please find attached an image showing the diagram

area of shaded part = area of larger rectangle - area of smaller rectangle

Area of a rectangle = length x width

larger rectangle = 10 x 7 = 70 cm^2

smaller rectangle = 7 x 4 = 28cm^2

Area of shaded part : 70 - 28 = 42cm^2

David is six times older than Janet. If David is 48 years​ old, how old is​ Janet?

Answers

Answer:

janet would be 8 years old

Answer:

8

Step-by-step explanation:

Janet would be 8 cause yeah

Need urgent help for this math question will give brainliest

Answers

Answer:

1st box: 6x - 3 = 9

2nd box: 6x = 12

3rd box: x = 2

4th box: y = 4(2) - 3

5th box: y = 8 - 3

6th box: y = 5

Step-by-step explanation:

Part A-

1) 4x-3 = -2x+9

2) 4x+2x -3 = -2x+2x + 9

3) 6x -3 = 9

4) 6x -3+3 = 9+3

5) 6x = 12

6) 6x/6 = 12/6

7) x = 2

Part B-

1) y=4x-3

2) y=4(2)-3

3) y=8-3

4) y= 5

Therefore, x = 2 and y = 5.

I really hope this helps, good luck!

Fill the table using function rule y=-3x+3

Answers

Answer:

Step-by-step explanation:

To solve this you just need to plug in your x values into the equations.

For example if x = 3,

when you plug it in you would get:

y = -3(3) + 3

y= -9 + 3

y = -6

You can plug in the rest of the x values and fill out your table.

What is the value of x
A. 100 B.50 C.25 D.35

Answers

Answer:

D

Step-by-step explanation:

I believe this is correct

D.35. I’m pretty sure this is the correct answer as well

Jane bought 6 dozen banana at $250per dozen. She sells four and a half dozen at $35 each and the other were sold at $20 each. Determine if she made a profit or loss state her profit or loss as a percentage. Show working

Answers

Answer:

87.5% loss

Step-by-step explanation:

6 • 250 = 1500

4.5 • 35 = 157.5

6 - 4.5 = 1.5

1.5 • 20 = 30

157.5 + 30 = 187.5

1500x = 187.5

x = 0.125

12.5% is an 87.5% decrease

please help me im in need of serious help or ill flunk :(

Answers

Answer:

1. Interest: 15%

Amount owed: $500

2. Interest: 6%

Amount owed: $1,500

3. Interest: 18%

Amount owed: $12,500

4. Interest: 6%

amount owed: $5,000

Step-by-step explanation:

Congruent angle pairs : Find m

Answers

Answer:

75

Step-by-step explanation:

x+60 and 5x are vertical angles, which means they are equal

x+60 = 5x

Subtract x from each side

x+60-x = 5x-x

60 = 4x

Divide by 4

60/4 = 4x/4

15 =x

We want to find x+60

x+60

15+60

75

Answer:

∠GH = 75°

Step-by-step explanation:

x + 60° = 5x° ( vertical angles )

subtract x from both side

x - x + 60° = 5x - x

60° = 4x

divide each side by 4

60°/ 4 = 4x / 4

15 ° = x

To calculate, ∠GH

∠GH = x + 60 °

15 ° + 60° .. ( x = 15°)

= 75°

How many solutions are there to the system of equations graphed below if the lines are parallel?

Answers

Answer:

zero, or 0, or none. answer is A

Step-by-step explanation:

they never touch, just pick A

Answer:

0, the answer is a

Step-by-step explanation:

Write an
explicit formula for An, the nth term of the sequence 5,-1, -7,....

Answers

Answer:

-6n + 11

Step-by-step explanation:

The difference between each number is 6 (-6)

If n=1 then -6n + 11 =5

If n=2 the (-6×2) + 11 = -1

If n=3 the (-6×3) + 11 = -7

and so on.

You use the difference between each number to identify how much you need to times n by the you use that information and figure out how much you need to add / subtract to find the first number in the sequence. To check you do the same thing for the second number or third number.

:]

4-2(2x-3)-(2x-4)=-2(x+3)

Answers

Answer:

x = 5

Step-by-step explanation:

Given

4 - 2(2x - 3) - (2x - 4) = - 2(x + 3) ← distribute parenthesis on both sides

4 - 4x + 6 - 2x + 4 = - 2x - 6

- 6x + 14 = - 2x - 6 ( add 2x to both sides )

- 4x + 14 = - 6 ( subtract 14 from both sides )

- 4x = - 20 ( divide both sides by - 4 )

x = 5

Answer:

[tex]x = 5[/tex]

Step-by-step explanation:

Let's solve:

[tex]4−2(2x−3)−(2x−4)=−2(x+3) \\ [/tex]

Step 1: Simplify both sides of the equation.

[tex]4−2(2x−3)−(2x−4)=−2(x+3) \\ 4−2(2x−3)+−1(2x−4)=−2(x+3) \\ (Distribute the Negative Sign)

\\ 4+−2(2x−3)+−1(2x)+(−1)(−4)=−2(x+3) \\

4+−2(2x−3)+−2x+4=−2(x+3)

4+(−2)(2x)+(−2)(−3)+−2x+4=(−2)(x)+(−2)(3) \\ (Distribute) \\

4+−4x+6+−2x+4=−2x+−6 \\(−4x+−2x)+(4+6+4)=−2x−6(Combine Like Terms) \\ −6x+14=−2x−6

\\ −6x+14=−2x−6[/tex]

Step 2: Add 2x to both sides.

[tex]−6x+14+2x=−2x−6+2x \\ −4x+14=−6[/tex]

Step 3: Subtract 14 from both sides.

[tex]−4x+14−14=−6−14 \\ −4x=−20[/tex]

Step 4: Divide both sides by -4.

[tex] \frac{ - 4x}{ - 4} = \frac{ - 20}{ - 4} \\ x=5[/tex]

PLZ HELP WILL GIVE BRAINLIEST IF RIGHT!!!

Christian goes out to lunch. The bill, before tax and tip, was $10.40. A sales tax of 6% was added on. Christian tipped 17% on the amount after the sales tax was added. How much tip did he leave? Round to the nearest cent.

Answers

Answer:

$12.89

Step-by-step explanation:

value of tax:

6 : 100 = x : 10.40

x = (10.40 * 6)/100 = $0.624

new amount

10.40 + 0.624 = $11.02

value of tip

17 : 100 = x : 11.02

x = (11.02 * 17)/100 = $1.8734

Final amount

11.02 + 1.8734 = $12.89

need help with this problem

Answers

Answer:

2

Step-by-step explanation:

20%---4

20%---4

20%---4

15%---3

15%---3

10%---2

4-2=2

Answer:

2 scoops

Step-by-step explanation:

Hi there!

What the question tells us:

There were 20 sales in totalWe need to solve for the number of chocolate ice cream sales and the number of strawberry ice cream salesWe need to subtract: [# chocolate ice cream sales] - [# strawberry ice cream sales] = ?

1) Determine the number of chocolate ice cream sales

The circle graph tells us that 20% of the scoops were for chocolate. To find the number of chocolate scoops, determine 20% of 20, which is the total number of scoops.

20 × 20%

Change 20% into a decimal

= 20 × 0.2

= 4

Therefore, the ice cream shop sold 4 scoops of chocolate ice cream.

2) Determine the number of strawberry ice cream sales

The circle graph also tells us that 10% of the scoops were for strawberry. To find the number of strawberry scoops, determine 10% of 20.

20 × 10%

Change 10% into a decimal

= 20 × 0.1

= 2

Therefore, the ice cream shop sold 2 scoops of strawberry ice cream.

3) How many more of these scoops were chocolate than strawberry?

[# chocolate ice cream sales] - [# strawberry ice cream sales] = ?

4 - 2 = ?

4 - 2 = 2

Therefore, 2 more of these scoops were chocolate than strawberry.

I hope this helps!

Write a function for:
The output is 5 less than twice the input.
O y= 1/2x-5
y=5 - 2x
O y=2x - 5
O y= 5x - 2

Answers

Answer:

Step-by-step explanation:

Let us have y as the output and x as the input

5 is less than twice the input

twice the input is x * 2 = 2x

so we have 2x-5

Malloy solved the equation-5x-16=8 his work is shown below. Identity the error and where it was made. Step 1: -5x-16+16=8+16 Step 2: -5x=24 Step 3: -5x/5=24/5 Step 4: x=24/5

Answers

Answer:

he divided both sides by 5 instead of -5 in his last step

Step-by-step explanation:

Given the expression solved by max expressed as;

-5x - 16 = 8

Step 1: Add 16 to both sides

-5x - 16 + 16 = 8 + 16

-5x = 24

Step 2:

Divide both sides by -5

-5x/-5 = 24/-5

x = -24/5

According to Malloy calculation, he divided both sides by 5 instead of -5 in his last step

Ayuda con estos ejercicios Porfavor es para Mañana​

Answers

I know understood 3 and 4
3 - C
4 - B

Enter a range of values for x.

Answers

Answer:   3 < x < 34

=============================================================

Explanation:

Ignore the sides that are 'a' units long.

We'll compare the sides that are 26 units and 27 units long. We see the 27 unit side is larger, which makes the 93 degree angle larger than the 3x-9 degree angle.

Symbolically, we would say

3x-9 < 93

At the same time, the 3x-9 is also larger than 0

So

3x-9 > 0 or 0 < 3x-9

Put together, we can form this compound inequality

0 < 3x-9 < 93

-------------------

Let's isolate x like so

0 < 3x-9 < 93

0+9 < 3x-9+9 < 93+9 .... add 9 to all sides

9 < 3x < 102

9/3 < 3x/3 < 102/3 .... divide all sides by 3

3 < x < 34

x is any number between 3 and 34, but cannot equal either endpoint

For example, x = 10 is valid since 3 < 10 < 34 is true. But x = 50 is not a solution since 3 < 50 < 34 is false. We can't have x = 3 and we also can't have x = 34 either, but we can have anything in between those endpoints.

Uncle Frank has a paddock on his farm. The paddock is a right angled isosceles triangle and has area 16m2. What is the length of fence enclosing the paddock

Answers

Answer:

8 m

Step-by-step explanation:

Applying,

A = bh/2................ Equation 1

Where A = Area of the triangle, b = base of the triangle, h = height of the triangle.

Since the triangle is an isosceles triangle.

Then,  b = h

Assuming, b = y m

Given: A = 16 m²

Substitute these values into equation 1

16 = (y×y)/2

16 = y²/2

y² = 16×2

y² = 32

y = √32

y = 4√2 m

Therefore,

b =  4√2 m and h =  4√2 m

Applying pythagoras theorem, to get the length of the fence enclosing the paddock

a² = b²+c²

a² = (4√2)²+(4√2)²

a² = 32+32

a² = 64

a = √64

a = 8 m

Hence the length of the fence enclosing the paddock is 8 m

In a carnival game, players get 5 chances to throw a basketball through a hoop. If 7 out of 20 players made all 5 baskets, how many players out of 400 would you expect to make all 5 baskets?

Answers

Answer:  140

=====================================================

Work Shown:

7/20 = 0.35 = 35% of the 20 players made all five baskets.

If this trend holds up, then we should expect 35% of the 400 people to make all five baskets.

35% of 400 = 0.35*400 = 140

We expect about 140 people will make all five baskets.

Note how 140/400 = 0.35 = 35%

-------------

Through another alternative method, we can solve like this

7/20 = x/400

7*400 = 20*x ... cross multiply

2800 = 20x

20x = 2800

x = 2800/20 ... dividing both sides by 20

x = 140 which is the same result as before

140

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If I have 75 oranges and I eat two and a half everyday for 30 days how many will I have eaten in one month

Answers

Answer:

all 75 of them

Step-by-step explanation:

2.5(30) = 75

Given f(x) = 2x - 7 and g(x) = 3x + 2, find (fog)(x).​

Answers

Answer:

(fog)(x)=6x-3

Step-by-step explanation:

In this problem, we are looking to find f of g of x. Simply put, we just have to plug g(x) into f(x). Whereever there is an x in f(x), we will replace with g(x).

[tex](fog)(x)= 2(g(x))-7\\(fog)(x)=2(3x+2)-7\\(fog)(x)=6x+4-7\\(fog)(x)=6x-3[/tex]

I hope this helps! Let me know if you have any questions :)

Point B is the image of point A when point A is rotated about the origin. What is known about point A and B?

On a coordinate plane, point A is (negative 3, 4) and point B is (4, 3).
Point B is the result of a 180° rotation.
Point A and B have the same x-coordinate.
Point B is the result of a 90° counterclockwise rotation.
Point A and point B are the same distance from the origin.

Answers

Answer:

D

Step-by-step explanation:

I took Edgy 2021 test

Answer:

D

Step-by-step explanation:

On a unit circle, the terminal point of 0 is (sqrt3/2,1/2)

What is 0?

Answers

Answer:

The measure of [tex]\theta[/tex] is 30°.

Step-by-step explanation:

In the statement, the angle has been misrepresented. The corrected statement is described below:

"On a unit circle, the terminal point of [tex]\theta[/tex] is [tex]\left(\frac{\sqrt{3}}{2}, \frac{1}{2} \right)[/tex]. What is [tex]\theta[/tex]?"

The measure of the angle ([tex]\theta[/tex]), in radians, is in standard form, that is, it is done with respect to the +x semiaxis. The measure of the angle whose terminal point is of the form [tex](x,y)[/tex] is determined by the following inverse trigonometric function:

[tex]\theta = \tan^{-1}\left(\frac{y}{x} \right)[/tex] (1)

If we know that [tex]x = \frac{\sqrt{3}}{2}[/tex] and [tex]y = \frac{1}{2}[/tex], then the measure of [tex]\theta[/tex] is:

[tex]\theta = \tan^{-1} \frac{\sqrt{3}}{3}[/tex]

[tex]\theta = 30^{\circ}[/tex]

The measure of [tex]\theta[/tex] is 30°.

Answer:

its 60 degrees

Step-by-step explanation:

a p e x 2021

f(x)=4 hallar el dominio, codominio, ceros o raices, vertices, asintotas, tabla de valores, graficas, identificar el tipo de funcion

Answers

Answer:

Tipo de función: Función Constante o Función Polinómica de Orden Cero

Dominio: [tex]Dom \{f(x)\} = \mathbb{R}[/tex]

Codominio: [tex]Ran \{f(x)\} = 4[/tex]

Asíntota: [tex]y = 4[/tex]

Raíces: No tiene.

Vértices: No tiene.

La tabla de valores y el gráfico se encuentran adjuntos al fondo.

Step-by-step explanation:

Sea [tex]f(x) = 4[/tex], el cual representa a una Función Constante o Función Polinómica de Orden Cero, cuyos dominio y codominio son [tex]Dom \{f(x)\} = \mathbb{R}[/tex] y [tex]Ran \{f(x)\} = 4[/tex]. No tiene vértices. Esta función tiene una asíntota horizontal coincidente con la función ([tex]y = 4[/tex]) y carece de raíces al ser [tex]f(x) \ne 0[/tex] para todo [tex]x\in \mathbb{R}[/tex].

Finalmente, agregamos una tabla de valores y la gráfica asociada a la función:

x         -2         -1         0         1          2

y         4          4         4         4         4

Find the measurement of ∠PON

Answers

the measurement of PON is about 180 degrees

The perimeter formula for a rectangle is P=2L+2W. If the length of a rectangle is 2x^2+x-3 and the width is x+7, write an expression for the perimeter of the rectangle.

Answers

Answer:

P=(2x*2+x-3)L+ (x+7)2w

Step-by-step explanation:

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