Question

Find the volume of a right circular cone that has a height of 15.2 m and a base with a radius of 16.2 m. Round your answer to the nearest tenth of a cubic meter.

Answer 1

`\boxed{\mathrm \quad {4177.4 \: cm^3}\quad }`

Explanation:

Volume of a right circular cone with radius r and height =is given by the formula

`V = (1)/(3) \pi r^2 h\\\\\text {We are given}\\\\r = 16.2 \;cm\\h = 15.2\;cm\\\\V = (1)/(3) * \pi * (16.2)^2 * 15.2\\\\= (1)/(3) * \pi * 262.44 * 15.2\\\\= 1329.696 \pi cm^3\\\\= 4177.36318 \;cm^3\\\\= 4177.4 \;cm^3 \text{ when rounded to the nearest tenth}`