Answer:
110.7 cm³ to the nearest tenth
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