Question

find the lateral area of the cylinder. 12 in. 12 in. round your answer to the nearest tenth. square inches

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 $r = 12$ in and $h=12$ in.

Step3: Substitute values into formula

$L = 2\pi\times12\times12$.
$L = 288\pi$.

Step4: Calculate and round

$L\approx288\times 3.14159 = 904.778$. Rounding to the nearest tenth, $L\approx904.8$.

Answer:

$904.8$