Question

question find the volume of a right circular cone that has a height of 11.6 in and a base with a radius of 7.6 in. round your answer to the nearest tenth of a cubic inch.

Explanation:

Step1: Recall volume formula for cone

The volume formula of a cone is $V=\frac{1}{3}\pi r^{2}h$, where $r$ is the radius of the base, $h$ is the height, and $V$ is the volume. We are given $r = 7.6$ in and $h=11.6$ in.

Step2: Substitute values into formula

$V=\frac{1}{3}\times\pi\times(7.6)^{2}\times11.6$. First, calculate $(7.6)^{2}=57.76$. Then $V=\frac{1}{3}\times\pi\times57.76\times11.6$.

Step3: Perform multi - plications

$V=\frac{1}{3}\times\pi\times670.016$. $V=\frac{670.016\pi}{3}\approx\frac{670.016\times3.14159}{3}$. $670.016\times3.14159 = 2104.477$. Then $V=\frac{2104.477}{3}\approx701.5$.

Answer:

$701.5$ in$^{3}$