What is the volume of the cylinder below?
2 answers:
For this case we have that the volume of the cylinder is given by:
![V = \pi * r ^ 2 * h](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20%2A%20r%20%5E%202%20%2A%20h)
Where:
h: It is the height of the cylinder
A: It is the radius of the cylinder
We have to, according to the given data:![h = 4\\r = 3](https://tex.z-dn.net/?f=h%20%3D%204%5C%5Cr%20%3D%203)
Substituting:
![V = \pi * (3) ^ 2 * 4\\V = \pi * 9 * 4\\V = 36 \ pi](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20%2A%20%283%29%20%5E%202%20%2A%204%5C%5CV%20%3D%20%5Cpi%20%2A%209%20%2A%204%5C%5CV%20%3D%2036%20%5C%20pi)
![36 \pi \ units ^ 3](https://tex.z-dn.net/?f=36%20%5Cpi%20%5C%20units%20%5E%203)
ANswer:
Option D
![36 \pi \ units ^ 3](https://tex.z-dn.net/?f=36%20%5Cpi%20%5C%20units%20%5E%203)
The answer is D. 36pi units^3
Hope this helps!
The formula for cylinder volume is: pi*r^2*h
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