Question

a cylinder has a height of 15 feet and a radius of 4 feet. solve for the total surface area of the cylinder. use 3.14 for $pi$ and round to the nearest tenth. (1 point)301.44 feet$^{2}$477.3 feet$^{2}$56.52 feet$^{2}$60 feet$^{2}$

Explanation:

Step1: Recall total 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

$r=4$, $h=15$, $\pi=3.14$
First calculate $2\pi r^2$:
$2\times3.14\times4^2 = 2\times3.14\times16 = 100.48$
Then calculate $2\pi rh$:
$2\times3.14\times4\times15 = 376.8$

Step3: Sum the two parts

$SA = 100.48 + 376.8 = 477.28$

Step4: Round to nearest tenth

$477.28 \approx 477.3$

Answer:

B. 477.3 feet²