Question

A cone and a cylinder have the same base and height, as shown below.

(please see attached picture)

The volume of the cylinder is 84(3.14) in^2 What can be concluded about the volume of the cone? Check all that apply.

The volume of the cone is 1/3 the volume of the cylinder.

The volume of the cylinder is 2 times the volume of the cone.

The volume of the cone is less than the volume of the cylinder.

The expression 84(3.14)/3 finds the volume of the cone.

The expression 84 (3.14)/2 finds the volume of the cone.

Answer 1

the answer is: A, C, and D

Answer 2

Answer with Step-by-step explanation:

We know that volume of a cylinder with radius r and height h is:

πr²h

and volume of cone with radius r and height h is:

πr²h/3

Volume of cone=Volume of cylinder/3 < Volume of cylinder

Volume of cylinder=84π in² where π=3.14

Volume of cone=84π/3 in²

= 84(3.14)/3 in²

Hence, correct options are:

The volume of the cone is 1/3 the volume of the cylinder.

The volume of the cone is less than the volume of the cylinder.

The expression 84(3.14)/3 finds the volume of the cone.