Question

Find the volume in terms of pi of a sphere

Answer 1

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Answer 2

V = 4000/3 pi ft^3

Explanation:

The surface area of a sphere is

SA = 4 pi r^2

400 pi = 4 pi r^2

Divide each side by pi

400 = 4 r^2

Divide by 4

400/4 = r^2

100 =r^2

Take the square root of each side

sqrt(100) = sqrt(r^2)

10 =r

Now we can find the volume of the sphere

V = 4/3 pi r^3

V = 4/3 pi (10)^3

V = 4/3 pi 1000

V = 4000/3 pi