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?
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?
Answers
Anonymous
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
After doubled height:
The volume is doubled
Volume after doubled height: 1800cm
After doubled radius:
The volume is quadrupled
Volume after doubled radius: 3600cm
Reiny
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
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