Question

find the surface area of a cylinder with a height of 7 m and a base radius of 5 m. use the value 3.14 for π, and do not do any rounding. be sure to include the correct unit.

Explanation:

Step1: Recall surface area formula

The total surface area of a cylinder is $SA = 2\pi r^2 + 2\pi rh$, where $r$ is radius, $h$ is height.

Step2: Substitute given values

$r=5\ \text{m}$, $h=7\ \text{m}$, $\pi=3.14$
First calculate the base areas:
$2\pi r^2 = 2\times3.14\times5^2 = 2\times3.14\times25 = 157$
Then calculate the lateral surface area:
$2\pi rh = 2\times3.14\times5\times7 = 219.8$

Step3: Sum the two areas

Add the base areas and lateral area:
$SA = 157 + 219.8$

Answer:

$376.8\ \text{m}^2$