Question

The sphere area of a sphere is 200.96 square centimeters. What is the approximate volume of the sphere? Use 3.14 for pi. Round your answer to the nearest hundredth.

Answer 1

We are given

area of sphere is 200.96cm^2

it means that we are given surface area

so, we can use surface area formula

$S=4\pi r^2$

where S is surface area

r is radius

so, firstly we need to find radius or r

$200.96=4\pi r^2$

we can solve for r

$r=3.9989cm$

now, we can find volume

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

we can plug r

$V=\frac{4}{3} \pi (3.9989)^3$

now, we can find volume

$V=267.86cm^3$.............Answer