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question a cylinder has a base radius of 3 meters and a height of 10 meters. what is its volume in cubic meters, to the nearest tenths place? answer attempt 1 out of 2 v = m³ you have up to 12 questions left to raise your score. submit answer show examples
Step1: Recall volume formula
The volume formula for a cylinder is $V=\pi r^{2}h$, where $r$ is the radius and $h$ is the height.
Step2: Substitute given values
Given $r = 3$ m and $h=10$ m, substitute into the formula: $V=\pi\times(3)^{2}\times10$.
Step3: Calculate the result
First, $(3)^{2}=9$, then $V=\pi\times9\times 10 = 90\pi$. Using $\pi\approx3.14159$, $V\approx90\times3.14159 = 282.7431$. Rounding to the nearest tenths place, $V\approx282.7$ $m^{3}$.
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$282.7$