Question

A cone with a radius of 3 cm, and a volume of 900cm.

The height is 95.493cm?

how is the volume affected if the height is doubled, and how is it affected if the radius is doubled?

Answer 1

Are these correct?

After doubled height:
The volume is doubled
Volume after doubled height: 1800cm

After doubled radius:
The volume is quadrupled
Volume after doubled radius: 3600cm

Answer 2

V = (1/3)πr^2 h

so if you just double the height, the volume is doubled
if you double the radius, the volume will be quadrupled
r^2 ----> (2r)^2 = 4r^2

if you double both height AND radius, the volume would increase
by a factor of 8
r^2 h ---> (2r)^2 (2h) = 8r^2 h