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 1 out of 2 in³ submit answer

Explanation:

Step1: Find the radius of the base

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 $V=\pi\times(7.6)^{2}\times2.3$.

Step3: Calculate the volume

$V=\pi\times57.76\times2.3=\pi\times132.848\approx3.14\times132.848 = 417.14272$ in³.

Step4: Round to the nearest tenth

Rounding $417.14272$ to the nearest tenth gives $417.1$ in³.

Answer:

$417.1$