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 the formula for the volume of a cylinder

The volume formula of a cylinder is \(V=\pi r^{2}h\), where \(r\) is the radius and \(h\) is the height.

Step2: Substitute the given values into the formula

Given \(r = 2\) and \(h=5\), we substitute these values into the formula: \(V=\pi\times(2)^{2}\times5\).
First, calculate \((2)^{2}=4\). Then the formula becomes \(V=\pi\times4\times5\).
Since \(4\times5 = 20\), the formula is \(V = 20\pi\).

Step3: Calculate the numerical value

Taking \(\pi\approx3.14\), we have \(V\approx20\times3.14\).
\(20\times3.14=62.8\).

Answer:

62.8 cubic units.