Question

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

a.300p ft3
b.13,500p ft3
c.4500p ft3
d.1200p ft3

Answer 1

The answer is C.

4,500p Ft^3

Answer 2

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 = (900)/(4) \\ r = (30)/(2) = 15 ft`

And the formula of volume of sphere is

`V = (4)/(3) \pi r^3`

Substituting the value of r, we will get

`V = (4)/(3) \pi (15)^3 = 4500 \pi ft^3`

And that's the required volume .