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 (1/12) Pi r^3

Answer 2

First, lets just write down what we are given,

R of cone = R of cylinder / 2

H of cone = R of cylinder

Volume of a cone = pi*r^2*h/3


All we are asked is to show what the volume of the cone is with only the variable of r which is the radius of the cylinder( I'm guessing ). So,

pi*(r/2)^2*r/3