Question

A right circular cone has a diameter of 14 inches and a height of 18 inches. Calculate the volume of the cone to the nearest cubic inch.

Answer 1

The volume of the cone is 923 inch³ approximately

Explanation:

To calculate the volume of a cone with a diameter of 14 inches and a height of 18 inches, we will follow the steps below:

first, write the formula for calculating the volume of a cone

v= πr²
`(h)/(3)`

where r is the radius and h is the the height of the one

v is the volume of the cone

from the question given;

height h = 18 inches

diameter d = 14 inches

but d=2r which implies r= d/2 = 14/2 = 7

hence, radius r = 7 inches

π is a constant and is ≈ 3.14

we can now proceed to insert the values into the formula

v= πr²
`(h)/(3)`

v ≈ 3.14 × 7² ×
`(18)/(3)`

v≈ 3.14 × 49 × 6

v ≈ 923.16

v ≈ 923 inch³

Therefore, the volume of the cone is 923 inch³ approximately