Question

The radius of the inner cylinder is three centimeter and the radius of the outer cylinder is eight centimeters. Find the volume of the non-shaded region.

Answer 1

Compute the two volumes and subtract!

V Cylinder = pi * r^2*height

V1 = pi*8^2*15, V2 = pi*3^2*15,

V1-V2 = pi*15(8^2-3^2) = pi*15*55 = 2591.81393921157923

Answer = 2591.8 cm^3 (if rounded to tenths)