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

Answer 1

The answer is option A

Answer 2

The answer should be A

original volume = Area x Height

If the the height was increased by a factor of 3,
Volume = Area x (Height x 3)

Which ultimately still means
Volume = (Area x Height) x 3

Which gives you the answer
Volume = (original volume) x 3

That's why the answer is A as the volume increased by a factor of 3