6. calculate the surface area of the following cylinder. round answer to the nearest tenth. use 3.14 for pi…

Explanation:

Step1: Recall surface area formula

The total surface area of a cylinder is given by $SA = 2\pi r^2 + 2\pi rh$, where $r$ is the radius and $h$ is the height (length) of the cylinder.

Step2: Identify given values

$r = 8$ cm, $h = 15$ cm, $\pi = 3.14$

Step3: Calculate the two circular bases

First, compute the area of the two circular ends: $2\pi r^2 = 2 \times 3.14 \times 8^2 = 2 \times 3.14 \times 64 = 401.92$ $\text{cm}^2$

Step4: Calculate the lateral surface area

Next, compute the lateral (curved) surface area: $2\pi rh = 2 \times 3.14 \times 8 \times 15 = 753.6$ $\text{cm}^2$

Step5: Sum the two areas

Add the area of the bases and the lateral surface area to get total surface area: $SA = 401.92 + 753.6$

Answer:

$1155.5$ $\text{cm}^2$