Question

find the surface area of a cylinder with a height of 4 yards and a radius of 2 yards. use 3.14 for $pi$ and round to the nearest tenth. (1 point) $\boldsymbol{square}$ yards$^2$ check answer remaining attempts : 3

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

$r=2$, $h=4$, $\pi=3.14$
First, calculate the area of the two bases:
$2\pi r^2 = 2\times3.14\times2^2 = 2\times3.14\times4 = 25.12$
Then calculate the lateral surface area:
$2\pi rh = 2\times3.14\times2\times4 = 50.24$

Step3: Sum the two areas

$SA = 25.12 + 50.24 = 75.36$

Step4: Round to nearest tenth

$75.36 \approx 75.4$

Answer:

75.4 yards$^2$