Question

Find the volume of a right circular cone that has a height of 17 m and a base with a circumference of 6.3 m.

Answer 1

The volume of the right circular cone is approximately 17.9 m³

Explanation:

The given parameters of the cone are;

Height = 17 m

Circumference of the base, C = 6.3 m

The circumference, C, of a circle is given by the formula, C = 2×π×r

Therefore, we have;

C = 6.3 m = 2×π×r

r = 6.3/(2 × π) ≈ 1.002676

The volume, V, of a cone is given by the following formula;

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

Where;

r = The radius of the base ≈ 1.002676

h = The height of the cone = 17 m

`V = (1)/(3) * \pi * 1.002676^2 * 17`

V = 1/3 × π × (1.002676 m)² × 17 m ≈ 17.89776 m³ which by rounding up to one decimal place is 17.9 m³

The volume of the right circular cone, V ≈ 17.9 m³.