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?

Answer 1

Given:

There are given that the diameter of a cylinder is 4m.

Step-by-step explanation:

The diameter of the cylinder is given 4 m.

Then,

We need to find the value for the radius.

So,

From the formula of the radius:

`r=(d)/(2)`

Then,

Put the value of d into the above formula:

Then,

`\begin{gathered} r=(d)/(2) \\ r=(4)/(2) \\ r=2m \end{gathered}`

Now,

According to the question:

The value of height is triple the radius.

So,

The length is:

`l=8`

Now,

From the formula of volume of the cylinder:

`\begin{gathered} V=\pi r^2h \\ V=3.14*2^2*8 \\ V=3.14*4*8 \end{gathered}`

Then,

`\begin{gathered} V=3.14*32 \\ V=100.48 \end{gathered}`

Final answer:

Hence, the correct option is D.