Question

A cone is placed inside a cylinder as shown. The radius of the cone is half the radius of the cylinder. The height of the cone is equal to the radius of the cylinder. What is the volume of the cone in terms of the radius, r?

Answer 1

(1/12) Pi r^3 option C on plato

Explanation:

r = radius of the cylinder

V = (1/3)Pi c^2 h for a cone.

and c = r/2 and h = u

so Volume of the cone is (1/3)Pi(1/4)(r^2)r = r = radius of the cylinder

Answer 2

r = radius of the cylinder
V = (1/3)Pi c^2 h for a cone.
and c = r/2 and h = u
so Volumn of the cone is (1/3)Pi(1/4)(r^2)r = (1/12)Pi r^3