The radius of a cylindrical construction pipe is 2.5ft. If the pipe is 21ft long, what is its volume?
1 answer:
Answer: ![V =412.33\ ft^3](https://tex.z-dn.net/?f=V%20%3D412.33%5C%20ft%5E3)
Step-by-step explanation:
As we do not know the internal radius of the pipe, then to calculate its volume we assume that the pipe is full of water.
This means that the volume of the pipe is the volume of a cylinder with radius
and length ![h = 21\ ft](https://tex.z-dn.net/?f=h%20%3D%2021%5C%20ft)
The volume of a cylinder is calculated using the following formula:
![V =\pi r^2h](https://tex.z-dn.net/?f=V%20%3D%5Cpi%20r%5E2h)
Then the volume is:
![V =\pi (2.5)^2(21)](https://tex.z-dn.net/?f=V%20%3D%5Cpi%20%282.5%29%5E2%2821%29)
![V =412.33\ ft^3](https://tex.z-dn.net/?f=V%20%3D412.33%5C%20ft%5E3)
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