Question

question what is the volume of a cylinder with a height of 2.3 in and a base with a diameter of 15.2 in, to the nearest tenth of a cubic inch? answer attempt 2 out of 2 in³ submit answer

Explanation:

Step1: Find the radius

The radius $r$ is half of the diameter. Given diameter $d = 15.2$ in, so $r=\frac{d}{2}=\frac{15.2}{2}=7.6$ in.

Step2: Use the volume formula for a cylinder

The volume formula of a cylinder is $V=\pi r^{2}h$. Substitute $r = 7.6$ in and $h=2.3$ in. So $V=\pi\times(7.6)^{2}\times2.3$.
First, calculate $(7.6)^{2}=57.76$. Then $V=\pi\times57.76\times2.3$.
$V = 57.76\times2.3\times\pi=132.848\pi$.
Using $\pi\approx3.14159$, we have $V\approx132.848\times3.14159\approx417.3$.

Answer:

$417.3$