Question

pre-algebra ic sem 2 fall 2025
surface area and volume of
cylinders
r = 4 in.
h = 16 in.
which equation can be used to find the surface area of the cylinder?
s = 2π(8)^2 + 2π(8)(16)
s = 2π(16)^2 + 2π(16)(4)
s = 2π(4)^2 + 2π(4)(16)
s = 2(4)^2 + 2(4)(16)

Explanation:

Step1: Recall the surface area formula for a cylinder

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

Step2: Identify the values of \(r\) and \(h\)

Given \(r = 4\) in and \(h=16\) in.

Step3: Substitute \(r = 4\) and \(h = 16\) into the formula

Substituting into \(S = 2\pi r^{2}+2\pi rh\), we get \(S = 2\pi(4)^{2}+2\pi(4)(16)\).

Answer:

\(S = 2\pi(4)^{2}+2\pi(4)(16)\)