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 cylinder volume formula

The volume $V$ of a right cylinder is given by $V = \pi r^2 h$, where $r$ is the radius and $h$ is the height.

Step2: Substitute given values

Substitute $r=2$ and $h=5$ into the formula:
$V = \pi \times (2)^2 \times 5$

Step3: Calculate the expression

First compute $(2)^2 = 4$, then $4 \times 5 = 20$. So $V = 20\pi$. Using $\pi \approx 3.1416$, we get $V \approx 20 \times 3.1416 = 62.832$.

Step4: Round to nearest tenth

Round $62.832$ to the nearest tenth: $62.8$.

Answer:

62.8 cubic units