Question

Two cylinders are given.

A small cylinder has a radius of 2 meters, and a larger cylinder has a radius of 5 meters.

The larger cylinder is a dilation of the smaller cylinder.

Part A: Determine the scale factor. Show or explain all the necessary steps. (2 points)

Part B: If the volume of the smaller cylinder is 24π m3, show how the scale factor can be used to determine the volume of the larger cylinder. (2 points)

Answer 1

do you need a formula sheet?

Answer 2

perhaps

Answer 3

scale factor=5/2=2.5
volume of cylinder\[v=\pi r^2 h\]
volume dilation=(2.5)^3
volume of larger cylinder\[=(2.5)^3\times 24 \pi =375 \pi ~m^3\]