Question

question what is the volume, in cubic inches, of a cylinder with a height of 12 inches and a base radius of 8 inches, to the nearest tenths place? answer attempt 1 out of 2 v = in³ submit answer you have up to 8 questions left to raise your score. show examples

Explanation:

Step1: Recall the volume formula for a cylinder

The volume formula of a cylinder is $V=\pi r^{2}h$, where $r$ is the radius of the base and $h$ is the height.

Step2: Substitute the given values

Given $r = 8$ inches and $h=12$ inches. Substitute into the formula: $V=\pi\times(8)^{2}\times12$.
First, calculate $(8)^{2}=64$. Then $V=\pi\times64\times12 = 768\pi$.

Step3: Approximate the value

Take $\pi\approx3.14159$. Then $V\approx768\times3.14159 = 2412.74112$.
Rounding to the nearest tenths place, $V\approx2412.7$ cubic - inches.

Answer:

$2412.7$