Question

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

Explanation:

Step1: Recall the formula for the 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, $r = 5$ and $h = 10$.

Step3: Substitute the values into the formula

Substitute $r = 5$ and $h = 10$ into $S = 2\pi rh$. We get $S=2\pi\times5\times10$.

Step4: Calculate the result

$2\pi\times5\times10=(2\times5\times10)\pi = 100\pi$.

Answer:

$100\pi$