Question

Find the volume of a right circular cone that has a height of 12.7 m and a base with a circumference of 18.9 m. Round your answer to the nearest tenth of a cubic meter.

Answer 1

Step-by-step explanation:

We have,

Height of cone, h = 12.7 m

Circumference of base, C = 18.9 m

The base of a circular cone is circular. The circumference of circle is given by :

$C=2\pi r$

r is radius

$r=\dfrac{C}{2\pi}\\\\r=\dfrac{18.9 }{2\pi}\\\\r=3\ m$

The volume of a right circular cone is given by the formula as :

$V=\dfrac{1}{3}\pi r^2h$

$V=\dfrac{1}{3}\times 3.14 \times 3^2\times 12.7\\\\V=119.634\ m^3$