Question

The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius r?

A. V = r2
B. V = r3
C. V = r3
D. V = r2

Answer 1

Volume of the cone = (1/3) pi r^2 h

h = 2r so substituting for h:-

V = (1/3) pi r^2 * 2r

V = (2/3) pi r^3

Answer 2

Answer: v = 4/3 pi r*3

the radius "r" is half the diameter, meaning, the diameter is 2r long

now, if the height "h" is twice "d" or 2d, then that means h = 2(2r)

so it would be v = 4/3 pi r*3

Explanation:

plato hope this is right