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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?

The diameter of a cylinder is 4 m. If the height is triple the radius, which is the-example-1
User Anenth
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1 Answer

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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.

User Davidrgh
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