Question

what is the volume of a cylinder with a base and a height of 19.1 in and a diameter of 12.8 in, to the nearest tenth of a cubic inch? answer attempt 1 out of 2 in³ submit answer

Explanation:

Step1: Find the radius

The diameter $d = 12.8$ in, and the radius $r=\frac{d}{2}=\frac{12.8}{2}=6.4$ in.

Step2: Use the volume formula for a cylinder

The volume formula of a cylinder is $V=\pi r^{2}h$, where $h = 19.1$ in. Substitute $r = 6.4$ in and $h=19.1$ in into the formula: $V=\pi\times(6.4)^{2}\times19.1$.

Step3: Calculate the volume

$V=\pi\times40.96\times19.1\approx3.14\times40.96\times19.1 = 3.14\times782.336=2456.53504$ in³.

Step4: Round to the nearest tenth

Rounding $2456.53504$ to the nearest tenth gives $2456.5$ in³.

Answer:

$2456.5$