Question

what is the surface area of a cylinder with the given dimensions? express your answer to nearest hundredth. use 3.14 for pi
radius = 5 cm; height = 8 cm.
a. 582.45 sq cm
b. 281.34 sq cm
c. 408.20 sq cm
d. 347.80 sq cm
please select the best answer from the choices provided
a
b
c
d

Explanation:

Step1: Recall the formula for the surface area of a cylinder

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

Step2: Substitute the given values

We are given \( r = 5\space\text{cm} \), \( h = 8\space\text{cm} \) and \( \pi=3.14 \).
First, calculate \( 2\pi r^2 \):
\( 2\times3.14\times5^2=2\times3.14\times25 = 157 \)
Then, calculate \( 2\pi rh \):
\( 2\times3.14\times5\times8=251.2 \)

Step3: Sum the two parts

Add the two results together: \( S=157 + 251.2=408.2 \) square centimeters.

Answer:

C. 408.20 sq cm