Given:
There are given that the diameter of a cylinder is 4m.
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:
[tex]r=\frac{d}{2}[/tex]
Then,
Put the value of d into the above formula:
Then,
[tex]\begin{gathered} r=\frac{d}{2} \\ r=\frac{4}{2} \\ r=2m \end{gathered}[/tex]
Now,
According to the question:
The value of height is triple the radius.
So,
The length is:
[tex]l=8[/tex]
Now,
From the formula of volume of the cylinder:
[tex]\begin{gathered} V=\pi r^2h \\ V=3.14\times2^2\times8 \\ V=3.14\times4\times8 \end{gathered}[/tex]
Then,
[tex]\begin{gathered} V=3.14\times32 \\ V=100.48 \end{gathered}[/tex]
Final answer:
Hence, the correct option is D.
