Question

determine the surface area of the cylinder. (use $pi = 3.14$)

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: Identify given values

$r = 5$ in, $h = 4$ in, $\pi = 3.14$

Step3: Calculate area of two circles

$2\pi r^2 = 2 \times 3.14 \times 5^2 = 2 \times 3.14 \times 25 = 157$

Step4: Calculate lateral surface area

$2\pi rh = 2 \times 3.14 \times 5 \times 4 = 125.6$

Step5: Sum the two areas

$SA = 157 + 125.6$

Answer:

$282.6$ square inches