Question

What is the volume of the cone with radius 6 in. and height 10 in.? Express the answer in terms of π.

Answer 1

The volume of cone = 120π cubic inches

Explanation:

Points to remember

Volume of cone = (πr²h)/3

Where r - Radius of cone and

h - Height of cone

To find the volume of cone

Here r = 6 in and h = 10 in

Volume = (πr²h)/3

= (π * 6² * 10)/3

= (π * 36 * 10)/3

= 360π/3

= 120π cubic inches

Therefore volume of cone = 120π cubic inches

Answer 2

120*pi in^3

Explanation:

We are given

Radius of cone=r=6 in

Height of cone=h=10 in

We know that the formula for finding the volume of cone is:

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

Putting the values of radius and height:

`V=(1)/(3)\pi *(6)^(2)*10\\=(1)/(3)\pi *36*10\\=(360)/(3)\pi\\=120\pi`

So, the volume of cone in terms of pi is 120pi cubic in^3 ..