Cylinder A and B have a height of 3 inches, but cylinder B has a diameter of 12, which is 4 inches greater than cylinder A. How much greater is the volume of cylinder B than cylinder A ?

Question

Cylinder A and cylinder B have a height of 3 inches, but cylinder B has a diameter four inches greater than that of cylinder A. If the diameter of cylinder B is 12 inches, how much greater is the volume of cylinder B than cylinder A ?

Answer 1

The formula for Volume of a cylinder is V= π r²h B has diameter = 12, so radius of B =6

A has diameter 12 - 4 =8, so radius = 4

Cylinder A Cylinder B

V = π (4²) 3 V = π(6²) 3

V = 48π V = 108π

B is 60π in² larger.