Question

Find the volume of a cone with a base radius of 6 in and a height of 11 in.. Write the exact volume in terms of pi_{i} and be sure to include the correct unit in your answer.

Answer 1

Remember that

The volume of a cone is given by the formula

$V=\frac{1}{3}*pi*r^2*h$

where

r=6 in

h=11 in

substitute the given values

$\begin{gathered} V=\frac{1}{3}*p\imaginaryI *6^2*11 \\ V=132pi\text{ in}^3 \end{gathered}$

The volume is 132pi cubic inches