Question

Jesse is looking for the volume of the cone below, and she is using the formula V=(1/3)Bh. Which of the following is the value of "B",base?

Answer 1

B =
`\pi` *r^2

(Base of the cone)

Explanation:

The volume of the cone is always 1/3 of the volume of a cylinder with the same radius and height.

Volume of the cylinder

V_cylin = (
`\pi` *r^2 )* h

Where

r is the radius

h is the height

This means the volume of the cone is equal to

V_cone = (1/3)* (
`\pi` *r^2 )* h

By looking to the equation of the problem

V=(1/3)Bh

We can easily deduce that

B =
`\pi` *r^2

(Base of the cone)