Question

The height of a cylinder is increased by a factor of 3. The radius is not changed. What is the effect of the increase on the volume of the cylinder?

A)
The volume of the cylinder increases by a factor of 3.


B)
The volume of the cylinder increases by a factor of 9.


C)
The volume of the cylinder increases by a factor of 6.
Eliminate

D)
The volume of the cylinder increases by a factor of 4.

Answer 1

By definition, the volume of a cylinder is given by:
V = pi * r ^ 2 * h
Where,
r: Radio
h: height.
"The height of a cylinder is increased by a factor of 3"
We have then:
V '= pi * r ^ 2 * (3h)
V '= 3 * (pi * r ^ 2 * h)
V '= 3 * V
Answer:
A)
The volume of the cylinder increases by a factor of 3.