Question

find the lateral area of the cylinder. round your answer to the nearest tenth. square yards

Explanation:

Step1: Recall the lateral - area formula

The lateral - area formula of a cylinder is $L = 2\pi rh$, where $r$ is the radius of the base and $h$ is the height of the cylinder. Given that the diameter $d = 6$ yd, the radius $r=\frac{d}{2}=\frac{6}{2}=3$ yd, and the height $h = 9$ yd.

Step2: Substitute values into the formula

Substitute $r = 3$ and $h = 9$ into the formula $L = 2\pi rh$. We get $L=2\pi\times3\times9$.

Step3: Calculate the result

$L = 54\pi$. Using $\pi\approx3.14$, we have $L\approx54\times3.14 = 169.56$.

Step4: Round the answer

Rounding $169.56$ to the nearest tenth gives $169.6$.

Answer:

$169.6$