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.