Question

A foam cylinder, with a diameter of 3 inches and height of 6 inches, is carved into the shape of a cone. What is the maximum volume of a cone that can be carved? Round your answer to the hundredths place.

Answer 1

The formula for the volume (V) of the cone is

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

Given

`\begin{gathered} r=(diameter)/(2)=(3in)/(2)=1.5in \\ h=6in \end{gathered}`

Therefore,

`V=(1)/(3)\pi(1.5)^2(6)=14.13716\approx14.14`

Hence, the maximum volume is

`V=14.14in^3`