Question

question find the volume of a right circular cone that has a height of 11.2 m and a base with a diameter of 8.8 m. round your answer to the nearest tenth of a cubic meter.

Explanation:

Step1: Find the radius

The diameter $d = 8.8$ m, so the radius $r=\frac{d}{2}=\frac{8.8}{2}=4.4$ m.

Step2: Recall the volume formula for a cone

The volume formula of a cone is $V=\frac{1}{3}\pi r^{2}h$, where $h = 11.2$ m and $r = 4.4$ m.

Step3: Substitute values into the formula

$V=\frac{1}{3}\times\pi\times(4.4)^{2}\times11.2$.
First, calculate $(4.4)^{2}=19.36$. Then $V=\frac{1}{3}\times\pi\times19.36\times11.2$.
$V=\frac{1}{3}\times\pi\times216.832$.
$V=\frac{216.832\pi}{3}\approx\frac{216.832\times3.14}{3}$.
$216.832\times3.14 = 679.85248$.
$V=\frac{679.85248}{3}\approx226.6$.

Answer:

$226.6$