Question

question 11 of 25
a right cylinder has a radius of 4 and a height of 11. what is its surface area?
a. 120π units²
b. 152π units²
c. 88π units²
d. 60π units²

Explanation:

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

The formula for the surface area of a right - cylinder is \(S = 2\pi r^{2}+2\pi rh\), where \(r\) is the radius and \(h\) is the height.

Step2: Substitute the given values into the formula

Given \(r = 4\) and \(h=11\). First, calculate \(2\pi r^{2}\):

$$
LATEXBLOCK0
$$

Next, calculate \(2\pi rh\):

$$
LATEXBLOCK1
$$

Step3: Find the total surface area

Add the two parts together: \(S=32\pi + 88\pi=120\pi+32\pi = 152\pi\)

Answer:

B. \(152\pi\) units\(^{2}\)