Question

Find the volume of a right circular cone that has a height of 18.8 in and a base with a

diameter of 14.3 in. Round your answer to the nearest tenth of a cubic inch.​

Answer 1

Answer:1006.5

Explanation:

Answer 2

The volume of the cone is 1006.9in³

Explanation:

Given

`Height = 18.8\ in`

`Diameter = 14.3\ in`

Required

Calculate the volume;

The volume of a cone is calculated as thus;

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

Where V represents volume; r represents radius; and h represents height

The radius is calculated as thus;

`r = (1)/(2)Diameter`

`r = (1)/(2) * 14.3`

`r = 7.15`

Substitute
`r = 7.15`;
`h = 18.8` and
`\pi = (22)/(7)`

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

`V = (1)/(3) * (22)/(7) * 7.15^2 * 18.8`

`V = (1)/(3) * (22)/(7) * 51.1225 * 18.8`

`V = (22* 51.1225 * 18.8)/(3 * 7)`

`V = (21144.266)/(21)`

`V = 1006.86980952`

`V = 1006.9\ in^3` (Approximated)

Hence, the approximated volume of the cone is 1006.9in³