Question

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

Explanation:

Step1: Recall lateral - area formula

The formula for the lateral area of a cylinder is $L = 2\pi rh$, where $r$ is the radius and $h$ is the height of the cylinder.

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

Given that $r = 10$ ft and $h=25$ ft.

Step3: Substitute values into formula

$L = 2\pi\times10\times25=500\pi$.

Step4: Calculate and round

$L\approx500\times3.14159 = 1570.795\approx1570.8$ square feet.

Answer:

$1570.8$