Question

find the lateral area of the cylinder. round your answer to the nearest tenth. square centimeters

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 $r = 10$ cm and $h=20$ cm.

Step3: Substitute values into formula

$L = 2\pi\times10\times20$.

Step4: Calculate the result

$L = 400\pi\approx400\times 3.14159 = 1256.636$.

Step5: Round to the nearest tenth

Rounding $1256.636$ to the nearest tenth gives $1256.6$.

Answer:

$1256.6$