Question

The diameter of a sphere is 4 centimeters. which represents the volume of the sphere?

Answer 1

The volume of a sphere with respect to its diameter is:

V=(4πr^3)/3

V=(πd^3)/6  (because r=d/2 and r^3=(d^3)/8), we are given that d=4 so

V=64π/6 cm^3

V=32π/3 cm^2

V≈33.51 cm^3  (to nearest hundredth)