Question

find the volume of the solid. when appropriate, use $pi = 3.14$ and round your answer to the nearest hundredth
a $730.84 m^{3}$
b $417.62 m^{3}$
c $208.81 m^{3}$
d $2,923.34 m^{3}$

Explanation:

Step1: Recall volume formula for cylinder

The volume formula for a cylinder is $V=\pi r^{2}h$, where $r$ is the radius and $h$ is the height.

Step2: Identify values of $r$ and $h$

Given $r = 3.5$ m and $h=19$ m.

Step3: Substitute values into formula

$V = 3.14\times(3.5)^{2}\times19$.
First, calculate $(3.5)^{2}=3.5\times3.5 = 12.25$.
Then, $V=3.14\times12.25\times19$.
$3.14\times12.25 = 38.465$.
$V=38.465\times19=730.835\approx730.84$ $m^{3}$.

Answer:

A. $730.84$ $m^{3}$