Question

A cone has a volume of 12 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of? (1 point)

Answer 1

a. 6 in ^3
b. 24 in ^3
c. 36 in ^3
d. 48in ^3

I GOT 24 IN ^3

Answer 2

@jdoe0001 HELP

Answer 3

\(\bf \textit{volume of a cone}=\cfrac{{\color{red}{ \pi r^2 h}}}{3}\qquad \textit{volume of a cylinder}={\color{red}{ \pi r^2 h}}\)

if the cone fits inside a cylinder, that is
thus "h" is the same value for both

Answer 4

\(\bf \textit{volume of a cone}=\cfrac{{\color{red}{ \pi r^2 h}}}{3}\qquad \textit{volume of a cylinder}={\color{red}{ \pi r^2 h}}\\ \quad \\
\textit{volume of a cone}=\cfrac{{\color{red}{ \textit{volume of a cylinder}}}}{3}\\ \quad \\\implies 3\cdot \textit{volume of a cone}={\color{red}{ \textit{volume of a cylinder}}}\)