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question what is the volume, in cubic centimeters, of a cylinder with a height of 3 centimeters and a base radius of 2 centimeters, to the nearest tenths place? answer attempt 1 out of 2 v = cm³ submit answer you have up to 7 questions left to raise your score. show examples
Step1: Recall volume formula for 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 given values
We are given $r = 2$ cm and $h=3$ cm. Substitute these into the formula: $V=\pi\times(2)^{2}\times3$.
Step3: Calculate the result
First, $(2)^{2}=4$, then $V=\pi\times4\times3 = 12\pi$. Using $\pi\approx3.14$, we have $V\approx12\times3.14 = 37.68$. Rounding to the nearest tenths place, $V\approx37.7$.
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$37.7$