Question

find the lateral area of the cylinder. 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 $r = 18$ inches and $h=24$ inches.

Step3: Substitute values into formula

$L=2\pi\times18\times24$.
First, calculate $2\times18\times24 = 864$. So, $L = 864\pi$.

Step4: Calculate the numerical value

Using $\pi\approx3.14159$, we have $L\approx864\times3.14159 = 2712.93376$.

Step5: Round to the nearest tenth

Rounding $2712.93376$ to the nearest tenth gives $2712.9$.

Answer:

$2712.9$