Question

find the volume of a right circular cone that has a height of 17.7 m and a base with a diameter of 18.2 m. round your answer to the nearest tenth of a cubic meter.

Explanation:

Step1: Calculate base radius

The diameter is 18.2 m, so radius $r = \frac{18.2}{2} = 9.1$ m

Step2: Recall cone volume formula

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

Step3: Substitute values into formula

Substitute $r=9.1$, $h=17.7$:
$$V = \frac{1}{3} \times \pi \times (9.1)^2 \times 17.7$$
First calculate $(9.1)^2 = 82.81$, then $82.81 \times 17.7 = 1465.737$, then $\frac{1}{3} \times 1465.737 \times \pi \approx 488.579 \times 3.1416 \approx 1535.0$

Answer:

$1535.0$ cubic meters