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question what is the volume of a cylinder, in cubic inches, with a height of 2 inches and a base diameter of 4 inches? round to the nearest tenths place. answer attempt 1 out of 2 v = inches³ you have up to 15 questions left to raise your score. submit answer show examples
Step1: Find the radius
The diameter $d = 4$ inches, so the radius $r=\frac{d}{2}=\frac{4}{2}=2$ inches.
Step2: Apply the volume formula for a cylinder
The volume formula of a cylinder is $V=\pi r^{2}h$. Given $h = 2$ inches and $r = 2$ inches. Substitute the values: $V=\pi\times(2)^{2}\times2=\pi\times4\times 2 = 8\pi$.
Step3: Calculate and round
$V = 8\pi\approx8\times3.14159 = 25.13272$. Rounding to the nearest tenths place, $V\approx25.1$ cubic - inches.
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$25.1$