To find the radius of the cone, we first need to know the formula for the volume of a cone, which is:
V = (1/3)πr^2h
Given that the volume is 100π and the height is 12, we can plug these values into the formula:
100π = (1/3)πr^2(12)
Simplify:
100 = 4r^2
Divide both sides by 4:
r^2 = 25
Take the square root of both sides:
r = 5
Therefore, the radius of the cone is 5 units.
The volume of a right cone is 100piπ unitscubed
3
. If its height is 12 units, find its radius.
1 answer