Question

surface area and volume of cylinders
r = 4 in.
h = 16 in.

which equation can be used to find the volume of the cylinder?
v = (4)^2(16)
v = π(8)^2(16)
v = π(4)^2(16)
v = π(16)^2(4)

Explanation:

Step1: Recall the formula for the volume of a cylinder

The formula for the volume of a cylinder is \( V=\pi r^{2}h \), 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 the values into the formula

Substitute \( r = 4\) and \( h = 16\) into \( V=\pi r^{2}h \), we get \( V=\pi(4)^{2}(16) \).

Answer:

\( V=\pi(4)^{2}(16) \) (the third option in the given choices)