The volume of a sphere is 32 3 π cubic centimeters. What is the radius? Sphere V = 4 3 πr3

1. Substitute 32 3 into the volume formula for V:32 3 π = 4 3 πr3

2. Multiply both sides of the equation by 3 4 : 8π = πr3

3. Divide both sides of the equation by π. 8 = r3

4. Take the cube root of both sides: 3√8 = r

The radius of the sphere is

Question

Mathematics

Alma Keith

12 July, 10:24

The volume of a sphere is 32 3 π cubic centimeters. What is the radius? Sphere V = 4 3 πr3

1. Substitute 32 3 into the volume formula for V:32 3 π = 4 3 πr3

2. Multiply both sides of the equation by 3 4 : 8π = πr3

3. Divide both sides of the equation by π. 8 = r3

4. Take the cube root of both sides: 3√8 = r

The radius of the sphere is

+1

Answers (1)

Know the Answer?

Rodolfo Gilbert · Answer 1

To solve for the volume of a sphere, you must first know the equation for the volume of a sphere.

V=43 (π) (r3)

In this equation, r is equal to the radius. We can plug the given radius from the question into the equation for r.

V=43 (π) (123)

Now we simply solve for V.

V=43 (π) (1728)

V = (π) (2304) = 2304π

Answer is 2304