A right cylinder soda can have a height of 8 and a radius of 3 as pictured above. What is the total surface area of the

[VJesus12]

A right cylinder soda can have a height of 8 and a radius of 3 as pictured above. What is the total surface area of the cylinder?

A. \(57\pi\)

B. \(60\pi\)

C. \(63\pi\)

D. \(66\pi\)

E. \(69\pi\)

Answer: D

Source: Veritas Prep

[Scott@TargetTestPrep]

Soda_Can.png

A right cylinder soda can have a height of 8 and a radius of 3 as pictured above. What is the total surface area of the cylinder?

A. \(57\pi\)

B. \(60\pi\)

C. \(63\pi\)

D. \(66\pi\)

E. \(69\pi\)

Answer: D

Solution:

Recall that the surface area of a cylinder of height h and base radius r is:

SA = 2πr^2 + 2πrh

Here, h = 8 and r = 3; therefore, the surface area of the cylinder is:

SA = 2π(3)^2 + 2π(3)(8)

SA = 18π + 48π

SA = 66π

Answer: D