Question

Suppose the height of the cone in the example was tripled. How would the volume of the cone compare to the volume of the cylinder? Explain how you know.

Answer 1

Step-by-step explanation:

The volume of a cone of base radius r and height h is given by

`V=(1)/(3)\pi r^2h`

the volume of a cylinder of the same height h and base radius r is given by

iNow of we triple the height of the cone then h -> 3h, and so our volume becomes

`V_(cone)=(1)/(3)\pi r^2(3h)`
`\Rightarrow V_(cone)=\pi r^2h`

This