what is the volume of this cylinder? use $piapprox3.14$ and round your answer to the nearest hundredth…

Explanation:

Step1: Recall volume formula

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

Given $r = 31$ yd and $h=14.4$ yd, and $\pi\approx3.14$.

Step3: Substitute values into formula

$V\approx3.14\times31^{2}\times14.4$. First, calculate $31^{2}=31\times31 = 961$. Then, $V\approx3.14\times961\times14.4$. $3.14\times961 = 3017.54$. $V\approx3017.54\times14.4$. $V\approx43452.576$.

Step4: Round the result

Rounding $43452.576$ to the nearest hundred - th gives $V\approx43452.58$ cubic yards.

Answer:

$43452.58$