The volume of a cylinder is 32.25 cubic inches. if a cone has the same height and radius as the cylinder, what is its volume?

8.06 cu. in.

10.75 cu. in.

21.5 cu. in.

32.25 cu. in.

option 2nd is correct

volume of a cone is, 10.75 cubic inches

Step-by-step explanation:

Volume of a cone (V) is given by:

           ......[1]

where,

r is the radius of the cone and h is the height of the cone respectively.

As per the statement:

The volume of a cylinder is 32.25 cubic inches.

Volume of a cylinder is given by:

⇒

Divide both side by 3.14 we have;

It is also given that a cone has the same height and radius as the cylinder.

⇒ and

⇒

Using formula [1] we have;

Simplify:

cubic inches

therefore, volume of a cone is, 10.75 cubic inches

87%

step-by-step explanation:

apex answer