ANSWER
[tex]V = 3.14 \times {10}^{2} \times 5[/tex]
EXPLANATION
The volume of a cylinder can be found using the formula,
[tex]V = \pi \: {r}^{2} h[/tex]
It was given that,
[tex]\pi = 3.14[/tex]
and the height of the cylinder is
[tex]h = 5m[/tex]
It was given also that, the diameter of the cylinder is 4 times the height of the cylinder.
This implies that,
[tex]d = 4 \times 5 = 20m[/tex]
We also know that, the radius of the cylinder is half its diameter. This means that,
[tex]r = \frac{20}{2} = 10m[/tex]
We substitute all the values into the formula to get,
[tex]V = 3.14 \times {10}^{2} \times 5[/tex]
The correct answer is C.
