Question

The diameter of a cylinder is 4 m. If the height is triple the radius, which is the closest to the volume of the cylinder?Group of answer choices100.53 space m cubed613.19 space m cubed251.33 space m cubed75.40 space m cubed

Answer 1

75.40 cubic meters

Explanation:

Given:

• The diameter of a cylinder is 4 m.

,

• The height is triple the radius

We want to find the volume of the cylinder.

First, determine the radius of the cylinder.

`Radius=(Diameter)/(2)=(4)/(2)=2\;m`

Next, we find the height.

`Height=3* Radius=3*2=6\;m`

Substitute these values into the formula for the volume of a cylinder:

`\begin{gathered} V=\pi r^2h \\ =\pi*2^2*6 \\ =24\pi \\ =24*3.14 \\ =75.36 \\ \approx75.40\;m^3 \end{gathered}`

The value closest to the volume of the cylinder is 75.40 cubic meters.