What is the approximate volume of a cone with a height of 6 mm and radius of 18 mm? Use 3.13 to approximate pi, and express your final answer to the nearest hundredth. Enter your answer as a decimal in the box. __mm^3

Answers

Answer 1

Answer:

[tex]2034.72\:\mathrm{mm^3}[/tex]

Step-by-step explanation:

The volume of a cone is given by [tex]V=\frac{1}{3}\cdot r^2\pi\cdot h[/tex], where [tex]r[/tex] is the radius of the cone and [tex]h[/tex] is the height of the cone.

What we're given:

[tex]r[/tex] of 18 [tex]h[/tex] of 6 Use [tex]\pi=3.14[/tex]

Substituting given values, we get:

[tex]V=\frac{1}{3}\cdot 18^2\cdot 3.14\cdot 6=\boxed{2034.72\:\mathrm{mm^3}}[/tex]


Related Questions

what additional information is needed to prove the triangles congruent by AAS

Answers

Answer:

pq=su

Step-by-step explanation:

its the only one that makes sense

Which expression is equivalent to

Answers

Answer:

8x^12 y^3

Step-by-step explanation:

8x^12 y^3

what is 5 pi over three raidans in degrees

Answers

Answer:

300 degrees

Step-by-step explanation:

5 pi/3

To change radians to degrees, multiply by 180/pi

5 pi/3 * 180/pi

5/3 * 180

5 * 60

300 degrees

An airplane took off at a constant angle of elevation. After the plane traveled for 25 miles, it reached an altitude of 5 miles. To the nearest tenth of a degree, what was the angle of elevation?

Answers

Answer:

11.5 degrees

Step-by-step explanation:

For future reference trianglecalculator.net is very helpful

The angle of elevation to the nearest tenth of a degree is 11.54°.

What is an angle of elevation?

An angle of elevation is defined as the angle between the slant horizontal line of an eye and the object in relation to the baseline called the adjacent.

In trigonometry, the angle of elevation can be determined by using the sine rule.

[tex]\mathbf{sin \ \theta = \dfrac{opp}{hyp} }[/tex]

[tex]\mathbf{sin \ \theta = \dfrac{5}{25} }[/tex]

[tex]\mathbf{ \theta =sin^{-1} (0.2)}[/tex]

[tex]\mathbf{ \theta =11.54^0}[/tex]

Learn more about the angle of elevation here:

https://brainly.com/question/88158

Help meeeee pleaseeeeeeeeeeeeeeeeeeee

Answers

Answer:

m<K = 146°

Step-by-step explanation:

From the above information given, we can conclude that ∆JKL is an isosceles triangle with two equal sides, KL and JK. Therefore, the angles opposite each side of KL and JK are congruent to each other. Which are:

<J and <L.

m<J = 17° (given)

Therefore,

m<L = m<J = 17° (base angles of the isosceles ∆)

m<L = 17°

m<K = 180° - (m<J + m<L)

m<K = 180° - (17 + 17)

m<K = 146°


(−7,−6)y(9,10)(-7,-6)y(9,10)

Answers

Answer:

i need more information to answer this question

Step-by-step explanation:

A card is chosen at random from a pack of playing cards. what is the probability that it is either a heart or the queen spades​

Answers

Answer:

14/52=7/26

favorable outcomes = 14 (heart =13 queen of spades=1)

total outcomes = 52

hope it helps

which of the following is equal square root of 9 x 4

Answers

I don’t see a picture attached but I think the answer is 6

Answer:

You didn't list any "of the following"

Here are some possible answers

√( 9 x 4) = 3 * 2

√( 9 x 4) =  6

Do the surface area plzzz and u get 25 points and if u Dk don’t answer and no links

Answers

Answer:

184

Step-by-step explanation:

A = 2(wl+hl+hw) = 2 · (6 · 2 + 10 · 2 + 10 · 6) = 184

Answer:

SA = 184 m²

Step-by-step explanation:

The opposite faces of the cuboid are congruent , then surface area (SA) is

SA = 2(2 × 6) + 2(6 × 10) + 2(2 × 10)

     = 2(12) + 2(60) + 2(20)

     = 24 + 120 + 40

     = 184 m²

HELP PLEASE ALSO NO LINKS THANK YOU

Answers

Answer:

21

Step-by-step explanation:

(base1+base2)2/ height

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer:

x = 39°

Step-by-step explanation:

51° + 90° = 141°

180° - 141° = x

x = 39°

They often don't label the 90° angle, so watch out for that in the future

54 + 90 = 144
180 - 144 = 36
36°

the histogram on the left shows the number of hours students in an art class practiced drawing during one week.​

Answers

Step-by-step explanation:

mmm Next no se...........

The train departs from Paris at 2028 and the journey takes 9 hours 10 minutes. Find the the train arrives in Milan​

Answers

20:28 plus 9 hours = 05:28
05:28 plus 10 minutes = 05:38
Answer= 05:38

Part A: Drag the factors of 45 and 75 into the correct boxes.
Part B: What is the greatest common factor of 45 and 75? Enter your answer in the box.

Answers

Answer:

3 x 5 is the gcf of 45 and 75. gcf(45,75) = 15.

Step-by-step explanation:

hope this helped! yw :}

Can someone please help me with this it’s so confusing

Answers

Answer:

B and C

18-10 is 8

6 times 10 is 60

Which linear equation best fits the data ?

Answers

Answer:

[tex]{ \tt{slope = \frac{2 - 1.5}{40 - 60} }} \\ = - 0.025 \\ \\ { \tt{y = mx + c}} \\ 2 = ( - 0.025 \times 40) + c \\ c = 3 \\ { \bf{ y = - 0.025x + 3}}[/tex]

Why would the answer be 3.?

Answers

Answer: Cause why not?

Step-by-step explanation:

[tex]3(4x-1)=-2x+19+8x-4[/tex]

First combine like terms:

[tex]3(4x-1)=(-2x+8x)+(19-4)\\\\3(4x-1)=6x+15[/tex]

Now distributive property

[tex](3)(4x)-(3)(1)=6x+15\\12x-3=15+6x[/tex]

Additive Property of Equality

[tex]12x-3+3=15+6x+3\\12x=18+6x[/tex]

Subtractive Property of Equality

[tex]12x-6x=18+6x-6x\\6x=18[/tex]

And finally Division Property of Equality

[tex]\frac{6x}{6} =\frac{18}{6} \\x=3[/tex]

the expanded form of 6,398 is​

Answers

Answer:

The expanded form of 6,398 is 6000 + 300 + 90 + 8

6,000+ 300+ 90+8 is the Expanded form

Help me please help me please help me please !!!!!!!!!!!!!

Answers

Answer: y = 1/4x - 1.

Step-by-step explanation: This line has a slope (rise over run) of 1/4, and a y-intercept of -1. Plugging those values into slope-intercept form (y = mx + b) gives you the answer.

31. The volume in a water drum is halved every 2 days of a drought. If the volume of water
in the drum was initially 1,000,000 gallons, what was the approximate volume after 10
days?

Answers

Answer:

30'000 gallons approx

Step-by-step explanation:

day 2 - 500,000 gallons

day 4 - 250,000 gallons

day 6 - 125,000 gallons

day 8 - 62,500 gallons

day 10 - 31,250 gallons

simplify
x2 + 6 − (3x2 − 2x − 5)

Answers

Answer:

- 2x² + 2x + 11

Step-by-step explanation:

Given

x² + 6 - (3x² - 2x - 5) ← distribute parenthesis by - 1

= x² + 6 - 3x² + 2x + 5 ← collect like terms

= - 2x² + 2x + 11

Answer:

Step-by-step explanation:

find the slope of the line that contains 2,2 and -3, 4

Answers

Answer:

-2/5

Step-by-step explanation:

your answer is -2/5 because whenever you have two points you can go ahead and just do rise over run and the formula is y1-y2/x1-y1 now you can go ahead and label them so y1 is 2, y2 is 4, x1 is 2 and x2 is -3 and now plug everything in

2-4/2-(-3)

-2/5

plsplspls help it's due today and is needed for reports. I'll brainlist you! just do the questions u know and leave the ones u don't idm I'll do it myself but at least do a few. it'll make my day:)​

Answers

Answer:

[tex]x=10[/tex]

Step-by-step explanation:

For all right triangles, the Pythagorean Theorem states:

[tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse, or the longest side, of the right triangle.

Therefore, we have (starting from the blanks):

[tex]x^2+576=676,\\x^2+576-676=676-676,\\x^2=100,\\x=\boxed{10}[/tex]

find the equation of a circle with a point at ( 10 , - 4 ) and a point at ( -2 , - 4 )​

Answers

Answer:

Solution given:

letA=(10,-4)

B=(-2,-4)

centre[C](h,k)=[tex]\frac{10-2}{2},\frac{-4-4}{2}=(+4,-4)[/tex]

radius=[tex]\sqrt{(4-10)²+(-4+4)²}=6[/tex]units

we have

Equation of a circle is;

(x-h)²+(y-k)²=r²

(x-4)²+(y+4)²=36

or.

x²-8x+16+y²+8y+16=36

x²-8x+8y+y²=36-32

x²-8x+8y+y²=4

The equation is (x-4)²+(y+4)²=36 or x²-8x+8y+y²=4.

Answer:

[tex] \rm\displaystyle (x - 4) ^{2} + {(y + 4)}^{2} = 36[/tex]

Step-by-step explanation:

the given points are the diameter points of circle because notice that in the both points y coordinate is the same therefore it's a horizontal diameter

since (10,-4),(-2,-4) are the diameter points of the circle the midpoint of the diameter will be the centre of the circle

remember midpoint formula,

[tex] \displaystyle M = \left( \frac{x _{1} + x_{2} }{2} , \frac{ y_{2} + y_{2}}{2} \right)[/tex]

let,

[tex] \displaystyle x _{1} = 10[/tex][tex] \displaystyle x _{2} = - 2[/tex][tex] \displaystyle y _{1} = - 4[/tex][tex] \displaystyle y _{2} = -4[/tex]

thus substitute:

[tex] \rm\displaystyle M = \left( \frac{10 + ( - 2)}{2} , \frac{ - 4 + ( - 4)}{2} \right)[/tex]

simplify addition:

[tex] \rm\displaystyle M = \left( \frac{8}{2} , \frac{ - 8}{2} \right)[/tex]

simplify division:

[tex] \rm\displaystyle M = \left( 4, - 4 \right)[/tex]

so the centre of the circle is (4,-4)

since it's a horizontal diameter the the redious will be the difference between the x coordinate of the Midpoint and the any x coordinate of the given two points but I'll use (-2,-4) therefore the redious is

[tex] \displaystyle r = 4 - ( - 2)[/tex]

simplify which yields:

[tex] \displaystyle\boxed{ r =6}[/tex]

recall the equation of circle

[tex] \displaystyle (x - h) ^{2} + {(y - k)}^{2} = {r}^{2} [/tex]

we acquire that,

h=4k=-4r=6

therefore substitute:

[tex] \rm\displaystyle (x - 4) ^{2} + {(y - ( - 4))}^{2} = {6}^{2} [/tex]

simplify:

[tex] \rm\displaystyle (x - 4) ^{2} + {(y + 4)}^{2} = 36[/tex]

and we are done!

also refer the attachment

(the graph is web resource of desmos)

The three planes given meet at a point. The planes are 3x+y-2z = 11, 4x-2y+z = -5, x+5y-4z = 33. The intersection is at what point? (Please explain.)

Answers

Answer:

(2, 7, 1)

Step-by-step explanation:

We have three equations, and using Gauss-Jordan Elimination, we can solve for x, y, and z

3x + y - 2z = 11

4x - 2y + z = -5

x + 5y - 4z = 33

We can start by taking out the z from all rows except one. To do this, we can work with the second row. I chose the second row because -5 is small and easy to add up with other numbers, and z has no coefficient in this row.

We can add 2 times the second row to the first row and 4 times the second row to the third row to get

11x - 3y = 1

4x - 2y + z = -5

17x -3y = 13

We then have the first and third rows having two variables. Since the y coefficients are the same, we can eliminate the y by adding the negative of the first row to the third row. Our result is then

11x - 3y = 1

4x - 2y + z = -5

6x = 12

From the third row, we can gather that x= 2. We can then plug that into the first row to get

22 -3y = 1

subtract 22 from both sides

-3y = -21

divide both sides by -3

y = 7

We can then plug our x and y values into the second row to get

4(2) - 2(7) + z = -5

8 - 14 + z = -5

-6 + z = -5

add 6 to both sides

z = 1

Our answer is thus (2, 7, 1)

Help me please thank u

Answers

Answer:

your answer to this question is C.

The algebraic expression 6x² + 9x + 3 represents the area of a rectangle. What is the area of the
rectangle when x = 3 feet?
a. 51 square feet
b. 60 square feet
c. 66 square feet
d. 84 square feet

Answers

The answer is D because 6(3)2 which is 6 x 9 = 54 + 9(3) = 81 + 3 = final answer 84

this is the easiest question

Answers

Answer:  [tex]3\dfrac{2}{6}\ h[/tex]

Step-by-step explanation:

Given

Rami practices his saxophone for [tex]\frac{5}{6}[/tex] hour on 4 day each week

So, for a week she practices around

[tex]\Rightarrow \dfrac{5}{6}\times 4\\\\\Rightarrow \dfrac{20}{6}[/tex]

Converting it into mixed fraction

[tex]\Rightarrow \dfrac{20}{6}=\dfrac{18+2}{6}\\\\\Rightarrow 3\dfrac{2}{6}\ h[/tex]

Answer:

33/100

Step-by-step explanation:

John has 8 cards that spell the word H O M E W O R K. He shuffles them and then places them face down. Assume he returns the card on each occasion.
a) What is the probability that he will choose the letter O?

Answers

Answer:

1/4

Step-by-step explanation:

You’re answer is 1/4 as you need to simply divide number of “o” letters by total number of letters

Tom and friends went to the movie the show started at 2:30pm and ended at 4:15 how long did the movie last Well the movie lasted 1 hour and 45 mins hope this help

Answers

Answer:

You are correct, it is 1 hr 45 minutes since 2:30+30 = 3:00 and 1:15 + 3:00 = 4:15. 1:15+30 = 1:45.

Step-by-step explanation:

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