Question

What is the volume of the cone with diameter 7 in. and height 9 in.? Round to the nearest cubic inch.

Answer 1

The volume of cone = 115 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 diameter = 7 in then r = 7/2 = 3.5 in and h = 9 in

Volume = (πr²h)/3

= (π * 3.5² * 9)/3

= (3.14 * 12.25 * 9)/3

= 115.395 ≈ 115 cubic inches

Therefore volume of cone = 115 cubic inches

Answer 2

Answer:
`115in^3`

Explanation:

The volume of a cone can be calculated with the following formula:

`V_((cone))=(1)/(3)\pi r^2h`

Where "r" is the radius and "h" is the height.

The radius is half the diameter, then "r" is:

`r=(7in)/(2)\\\\r=3.5in`

Since we know that radius and the height, we can substitute them into the formula.

The volume of the cone to the nearest cubic inch is:

`V_((cone))=(1)/(3)\pi (3.5in)^2(9in)`

`V_((cone))=115in^3`