Question

find the lateral surface area of the cylinder given the height and radius shown. note that the figure is not to scale. draw 21 13

Explanation:

Step1: Recall the formula for lateral surface area of a cylinder

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

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

From the problem, $r = 13$ and $h=21$.

Step3: Substitute the values into the formula

Substitute $r = 13$ and $h = 21$ into $S = 2\pi rh$. We get $S=2\pi\times13\times21$.

Step4: Calculate the result

First, calculate $2\times13\times21=546$. So, $S = 546\pi$.

Answer:

$546\pi$