Question

find the lateral surface area and volume of the cylinder shown to the right. use the π key for π. the lateral surface area is (simplify your answer. round to the nearest hundred as needed.)

Explanation:

Step1: Recall lateral - surface - area formula

The formula for the lateral surface area of a cylinder is $L = 2\pi rh$, where $r$ is the radius and $h$ is the height of the cylinder. Given $r = 46.3$ cm and $h=83.6$ cm.
$L = 2\pi\times46.3\times83.6$

Step2: Calculate the value

$L=2\times\pi\times46.3\times83.6 = 2\times\pi\times3870.68\approx 24320.97$ (rounded to the nearest hundredth)

Answer:

$24320.97$ cm²