Question

The height of a cone is equal to the diameter of the base. what expression represents the volume of the cone, in cubic units? πx3 πx2 2πx3 4πx3

Answer 1

I just took the quiz. the answer is A. 2/3rds pi x3

Answer 2

The formula for a cone is given as:

V = π r^2 h / 3                    ---> 1

Where,

V = volume of the cone

r = radius of the circle base of the cone

h = is the perpendicular length from the center of the base of the cone to the tip at the top

 

It was given that:

h = d

but d = 2 r, therefore:

h = 2 r

Substituting this to equation 1:

V = π r^2 (2 r) / 3             

V = 2 π r^3 / 3

 

Since r = x, the answer from the choices is:

2πx3