Question

a right cylinder has a radius of 2 units and a height of 5 units. what is the volume of the cylinder? round to the nearest tenth. 31.4 cubic units. 62.8 cubic units 157.1 cubic units 314.2 cubic units.

Explanation:

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 values

Given $r = 2$ and $h=5$, substitute into the formula: $V=\pi\times(2)^{2}\times5$.

Step3: Calculate

First, $(2)^{2}=4$, then $V=\pi\times4\times5 = 20\pi$. Using $\pi\approx3.14159$, $V\approx20\times3.14159 = 62.8318$.

Step4: Round

Rounding $62.8318$ to the nearest tenth gives $62.8$.

Answer:

62.8 cubic units