Question

Find the volume of a sphere that has a surface area of 16 sq. in.

A. (32/3) cubic inches
B.8 cubic inches
C.(4/3) cubic inches

Answer 1

A is the answer

Answer 2

Given the surface area of the sphere, for us to obtain the volume we need to get the value of the radius. The surface area of the sphere is given by:
S.A=4πr^2
hence the radius can be calculated as follows;
16=4πr^2
4=πr^2
r=(4/π)^(1/2)
volume of a sphere is given by:
V=4/3πr^3
=4/3*π*(4/π)^(1/2))^3
=32/3 cubic inches