Find the volume of a right circular cone that has a height of 12.2 cm and a base with a circumference of 18.5 cm. Round your answer to the nearest tenth of a cubic centimeter.

110.7 cm³ to the nearest tenth

Step-by-step explanation:

The volume V of a cone whose circular base has a radius r and a height h is given as

V = 1/3 πr²h

where π = 22/7

Given the circumference of the circular base as 18.5cm, we must find the radius before we can computed the volume. The relationship between the radius and the circumference is such that the circumference C

= 2πr

hence,

r = C/2π

= 18.5/2π

since the height of the cone is 12.2 cm, the volume V

= 1/3 * π * (18.5/2π) ² * 12.2

= 110.71 cm³