if the volume of a sphere is 36 pi cubic inches, what is the radius?​

Answers

Answer 1

Answer:

r = 3 in

Step-by-step explanation:

The volume (V) of a sphere is calculate as

V = [tex]\frac{4}{3}[/tex]πr³ ( r is the radius )

Here V = 36π , then

[tex]\frac{4}{3}[/tex]πr³ = 36π ( multiply both sides by 3 to clear the fraction )

4πr³ = 108π ( divide both sides by 4π )

r³ = [tex]\frac{108\pi }{4\pi }[/tex] = 27 ( take the cube root of both sides )

r = [tex]\sqrt[3]{27}[/tex] = 3


Related Questions

What’s the triangle similarity theorem?

Answers

Answer:If a segment is parallel to one side of a triangle and intersects the other two sides, then the triangle formed is similar to the original and the segment that divides the two sides it intersects is proportional

Step-by-step explanation:

A researcher wants to assess the difficulty of test questions in an algebra class at a high school. To test it, he takes one question from each test, each week in the first semester. In statistical language, each test question is part of the:

Answers

Answer:

Population

Step-by-step explanation:

The sample is taken from the population

Each test question should be the part of the population.

What is the population?

A population in terms of statistics refers to a group of people that could be identified for the motive of data collection and analysis. To received the information about a large population, data should be normally gathered from a sample.

learn more about algebra here: https://brainly.com/question/14026683

Felipe, Pedro y Miguel son fanáticos del cine. Felipe asiste cada 3 días; Pedro cada 6 días y Miguel cada 5 días. Los tres van juntos un día, ¿dentro de cuántos días irán otra vez juntos?
A) 10 B) 20 C) 30 D) 35

E) 40

Answers

Answer:

Opción C, 30 días.

Step-by-step explanation:

Sabemos que:

Felipe asiste al cine cada 3 días

Miguel asiste cada 5 días.

Pedro asiste cada 6 días.

Los tres van juntos un día,  ¿dentro de cuántos días irán otra vez juntos?

Los 3 volverán a ir juntos luego de N días, tal que N es el menor múltiplo común de 3, 5 y 6.

Como 6 es múltiplo de 3, podemos ignorar al 3, y solo considerar al menor múltiplo en común de 5 y 6.

Además, como podemos reescribir estos números como un producto de números primos, así obtenemos:

6 = 2*3

5 = 5*1

Estos números no comparten factores entre ellos, por lo que el menor múltiplo entre 5 y 6 es simplemente 5*6 = 30

Entonces podemos concluir que N = 30

Felipe, Pedro y Miguel irán juntos al cine nuevamente dentro de 30 días.

La opción correcta es C.

Helppppppppppp meeeeeee please ASAP

Answers

Answer:

x = 11

Step-by-step explanation:

(7x + 5)° = (3x + 19)° + (2x + 8)°

7x + 5 = 5x + 27

2x = 22

x = 11

URGENT PLS HELP!!!
Work out the value of 3x + 5y
when x = -5 and y = 5

Answers

Answer:

10

Step-by-step explanation:

3x + 5y

Let x= -5 and y =5

3(-5) + 5(5)

Multiply first

-15 +25

Then add

10

10 because 3x-5=-15 and 5x5=25 so 25-15=10

someone help me pleaseeeeee

Answers

Answer:

D

Step-by-step explanation:

All parts of the circle have a star, meaning that Andrea has a 4/4 or 1 probability of landing on a part that has a star.

If Amanda deposits 25% of her $180 paycheck into a savings account, what is the amount of her deposit?

Answers

50%=90
Half of that to get 25% would be $45
Or just do 1/4 of 180=45

The answer is $45

Answer:

$45

Step-by-step explanation:

[tex]180 \times 25\%[/tex]

[tex]180 \times \frac{25}{100} [/tex]

[tex] \frac{18 \times 25}{10} [/tex]

[tex] \frac{450}{10} [/tex]

[tex]45[/tex]

The value of a car is deprecting at the rate of 12% Find the correct value of car when cost of car was rs 350000

please i need help

Answers

Answer:

The cost of the car is $ RS 308,000.

Step-by-step explanation:

Given that the value of a car is deprecting at the rate of 12%, to find the correct value of car when cost of car was $ RS350,000 last year, the following mathematical calculation must be performed:

100 - 12 = 88

88/100 = 0.88

350,000 x 0.88 = X

308,000 = X

Therefore, the cost of the car is $ RS 308,000.

Ignore the fact that this is answered, im not sure if the answer is right. What is the right answer?

Answers

Answer:

x = 5.5

Step-by-step explanation:

From rectangle KLMN, KM = 6x + 16, LN = 49

Find x

It can be seen that KM and LN are both equal diagonals in the rectangle.

Therefore,

KM = LN

6x + 16 = 49

6x = 49 - 16

6x = 33

Divide both sides by 6

x = 33/6

x = 5.5

What is the edge length of
a cube of 1/8 m^3

Answers

Step-by-step explanation:

The volume of a cube is the edge³, so to find the edge, you need to calculate the cubic root of it:

[tex] \sqrt[3]{ \frac{1}{8} } = \frac{1}{2 } [/tex]

What are the solutions of x2 - 2x +17 - 0?
O A. x = 1+2, or x = 1 - 2
O B. X = 1+4, or x = 1- 47
O c. x = 2, or x = -2
O D. x = 4; or x = -4/

Answers

Answer:

option B

Step-by-step explanation:

[tex]x^2 - 2x + 17 = 0 \ , \ [ \ where \ a = 1 , \ b = - 2 \ c = 17 \ ][/tex]

[tex]x = \frac{- b \ \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{2 \ \pm \sqrt{2^2 - (4 \times 1 \times 17)}}{ 2 \times 1}\\\\x = \frac{2 \ \pm \sqrt{4 - 68}}{ 2 }\\\\x = \frac{2 \ \pm \sqrt{-64}}{ 2 }\\\\x = \frac{2 \ \pm \sqrt{8^2 \times -1}}{ 2 }\\\\x = \frac{2 \ \pm \ 8\sqrt{ -1}}{ 2 }\\\\[/tex]              

[tex]x = \frac{2 \ \pm\ 8 i}{ 2 }\\\\[/tex]                               [tex][ \ where \ i = \ \sqrt{i} \ ][/tex]

[tex]x = 1 \ \pm \ 4i\\\\x = 1 + 4i , \ x = 1 - 4i[/tex]

Answer:

O B.  [tex]x=1+4i[/tex] or [tex]x=1-4i[/tex]

Step-by-step explanation:

Use the Quadratic Formula for the Quadratic Equation!

Quadratic Equation: [tex]x^{2} -2x+17=0[/tex]

Quadratic Formula: [tex]x= \frac{-b±\sqrt{b^2-4ac} }{2a}[/tex]

**********************************************************************

Now set up the values like this!

[tex]ax^{2} +bx+c[/tex]

**********************************************************************

[tex]x=\frac{-b±\sqrt{-2^2-(4(0)(17)} }{2(0)}[/tex]

[tex]x=\frac{-b±\sqrt{4-(1)} }{0}[/tex]

x = 1 - 4i

x = 1 + 4i

If 24 - 2x = 19 + 3x, then x =

Answers

Answer:

1 =x

Step-by-step explanation:

24 - 2x = 19 + 3x

Add 2x to each side

24 - 2x+2x = 19 + 3x+2x

24 = 19 +5x

Subtract 19 from each side

24-19 =19+5x-19

5 = 5x

Divide by 5

5/5 = 5x/5

1 =x

the ratio of the ages of Charlie and Kelvin is 2:3 if Charlie is 8 year old ,how old is Kelvin​

Answers

Answer:

Charlie would be 11

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Create proportional relationship to solve for Kevin's age

Let k = Kevin's age

2/3 = 8/k

Now solve for k

Cross multiply

24 = 2k

Divide both sides by 2

12 = k

If charlie is 8 then Kevin is 12

If you fail two semesters will you be held back?

Answers

Yes if you are in high school not middle school

umm...... No because 1 haven't give any semester

[tex]-2\sqrt{50x^5} +5\sqrt{18x^5}[/tex]

Answers

Answer:

234.98

Step-by-step explanation:

in class notes

which equation represents a line that is parallel to the line whose equation is y=3/2x-3 and passes through the point (1, 2)? ​

Answers

Answer:

1) y = 3/2 x +½

Step-by-step explanation:

y-2 = 3/2(x-1)

y = 3/2x -3/2 +2

y = 3/2x +½

Help me with my algebra 2 please (:

Answers

Answer:

The first one

Step-by-step explanation:

Make 3x+6 into 3(x+2)

Separate x²+5x+6 into (x+2)(x+3)

Cross out both x+3

6x÷3

Put x+2 together to make (x+2)²

[tex]\frac{2x}{(x+2)^2}[/tex]

The PRODUCT of 25 and x.

Answers

Answer:

25x

Step-by-step explanation:

25•x is 25x.

Until you know what x is you cannot do anything

Once you find out what x is you can plug in the number in the x space to get 25•__

I hope this helped!

What is the height of a rectangular prism with a volume of 60 cubic feet, a length of 3 ft and width 4 ft?

Answers

Answer:

5 feet

Step-by-step explanation:

the cost price of a refrigerator is $1850.00. A buyer who is given a discount of 5% for cash purchase will pay?

Answers

Answer:

1757.50

Step-by-step explanation:

First determine the amount of the discount

1850 * 5%

1850 * .05

92.50

Subtract this from the price

1850-92.50

1757.50

Answer:

$1757.5

Step-by-step explanation:

The way I like to do problems like this is by taking the  % and putting it into this formula 100- x =

Then move it down to 2 decimal places and multiply it by the original cost. Then you have your answer.

Which solid has a great volume

Answers

Answer:

The question is imcomplete. I need a diagram of some sort to help you out.

Fill in the spaces to complete the equality
Help

Answers

Answer:

(n + 13n)

Step-by-step explanation:

13n (n) = 13n²

add 13n

so 13n (n + 13n) = 13n² +13n

I believe they are both supposed to add up to 26n^2 so any combination should work suck as (10n^2 +3n)

Which triangles are similar?
20°
100°
100°
60°
А
B
20°
60°
с
O A. Triangles A and B are similar to each other.
B. Triangles A, B, and C are similar to each other.
C. Triangles A and C are similar to each other.
D. Triangles B and C are similar to each other.

Answers

Answer:

B because when at B angels are the same qnd A and c are also same

Who knows the answer ?

Answers

Answer:

m angle CDE is 163 degree

Step-by-step explanation:

98+65=163

Math question, please help​

Answers

Answer:  Choice A) 41.7

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

Explanation:

Let's say that a = 25, b = 37 and c = 32 are the side lengths.

The uppercase letters A,B,C are opposite their lowercase counterparts.

That means angle A is opposite side a = 25

Apply the law of cosines to find angle A

a^2 = b^2 + c^2 - 2*b*c*cos(A)

25^2 = 37^2 + 32^2 - 2*37*32*cos(A)

625 = 1369 + 1024 - 2368*cos(A)

625 = 2393 - 2368*cos(A)

625 - 2393  = -2368*cos(A)

-1768  = -2368*cos(A)

-2368*cos(A) = -1768

cos(A)= (-1768)/(-2368)

cos(A) = 0.746621621621622

A = arccos(0.746621621621622)

A = 41.7014263373247

A = 41.7

find the volume of the cylinder. SHOW ALL WORK

Answers

The volume of the cylinder with a height of 12 inches and a diameter of 10 inches is approximately 942.4788 cubic inches.

To find the volume of a cylinder, you can use the formula:

Volume = π * r^2 * h

Where π (pi) is approximately 3.14159, r is the radius of the cylinder, and h is the height of the cylinder.

In this case, the height of the cylinder is given as 12 inches, and the diameter is given as 10 inches. To find the radius, we divide the diameter by 2:

Radius = Diameter / 2 = 10 inches / 2 = 5 inches

Now we can substitute the values into the formula to calculate the volume:

Volume = π * (5 inches)^2 * 12 inches

Using the value of π as approximately 3.14159, we get:

Volume ≈ 3.14159 * (5 inches)^2 * 12 inches

Volume ≈ 3.14159 * 25 square inches * 12 inches

Volume ≈ 942.4788 cubic inches

Therefore, the volume of the cylinder with a height of 12 inches and a diameter of 10 inches is approximately 942.4788 cubic inches.

Learn more about volume here:

https://brainly.com/question/27710307

#SPJ8

2.07 x 1.7= ________ by step explenation

Answers

Answer:

3.519

Step-by-step explanation:

2.07 x 1.7 =  3.519

Sarah and Kell have stickers in a ratio of 2:4.
Together they have a total of 48 stickers. Use
the tape diagram to represent how many
stickers each girl has.
Directie
questi
For a
fo
ро
Sarah
Kelly

Answers

Answer:

kelly has 16 stickers and sarah has 8

Step-by-step explanation:

Which expression is equivalent to this expression?

Answers

Answer:

a-4b

Step-by-step explanation:

you combine like terms,  (-6b)+2b=-4

4a-3a=1a or just a

then you get your awsner a-4

Simply x+1/x^2+6x+5 step by step
Pls

Answers

Answer:

1 / (x+5)

Step-by-step explanation:

Factor the denominator

(x+1)/ (x+5)(x+1)

Cancel both (x+1)

=1/(x+5)

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