Question

a cylinder has a height of 18 yards and a radius of 15 yards. what is its volume? round your answer to the nearest hundredth. cubic yards

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: Substitute given values

Given $r = 15$ yards and $h=18$ yards, substitute into the formula: $V=\pi\times(15)^{2}\times18$.
First, calculate $(15)^{2}=225$. Then $V=\pi\times225\times18 = 4050\pi$.

Step3: Calculate the value

Using $\pi\approx3.14159$, we have $V\approx4050\times3.14159 = 12717.4395$.

Step4: Round to nearest hundredth

Rounding $12717.4395$ to the nearest hundredth gives $12717.44$.

Answer:

$12717.44$