Question

A sphere has a surface area of 900p ft2. Find the volume of the sphere.

Answer 1

It is given in the question that

Surface area of a sphere is 900 pi square feet .

And the formula of surface area of sphere is

$Area = 4 \pi r^2$

Substituting the given value of area, we will get

$900 \pi = 4 \pi r^2 \\ r^2 = \frac{900}{4} \\ r = \frac{30}{2} = 15 ft$

And the formula of volume of sphere is

$V = \frac{4}{3} \pi r^3$

Substituting the value of r, we will get

$V = \frac{4}{3} \pi (15)^3 = 4500 \pi ft^3$

And that's the required volume .

Answer 2

The answer is C. 

4,500p Ft^3