Question

the volume of the cylinder is approximately 7,959.9 cubic inches. the radius is ___ inches. use pi = 3.14.measurements displayed:height = 15 inches.shape: cylinder(im unable to send pictures without the entire app crashing. i will explain the picture as best as i can.)

Answer 1

We have the following formula for the volume of a cylinder:

$V=\pi\cdot r^2\cdot h$

in this case, we have the following information:

$\begin{gathered} V=7959.9in^3 \\ \pi=3.14 \\ h=15in \end{gathered}$

using these values on the formula, we get:

$7959.9=(3.14)\cdot r^2\cdot(15)$

solving for 'r', we have the following:

$\begin{gathered} (3.14)\cdot r^2\cdot(15)=7959.9 \\ \Rightarrow r^2=\frac{7959.9}{(3.14)(15)}=169 \\ \Rightarrow r=\sqrt[]{169}=13 \\ r=13 \end{gathered}$

therefore, the radius of the cylinder is r = 13 in