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An oblique cylinder has a radius of 10 meters and a volume of 2,500pi cubic meters. Use Cavalieri’s Principle to solve for the height of the solid.

Verified Answer :

Answer:

25 meters.

Step-by-step explanation:

We are told that an oblique cylinder has a radius of 10 meters and a volume of 2,500 pi cubic meters.      

We will use volume of oblique cylinder to find the height of our given cylinder.

\(\text{Volume of oblique cylinder}=\pi r^2h\)

Upon substituting our given values in above formula we will get,

\(2500\pi\text{ m}^3=\pi (\text{10 m}^2*h\)

\(2500\pi\text{ m}^3=\pi*100\text{ m}^2*h\)

Let us divide both sides of our equation by 100 pi.

\(\frac{2500\pi\text{ m}^3}{\pi*100\text{ m}^2}=\frac{\pi*100\text{ m}^2*h}{\pi*100\text{ m}^2}\)

\(25 m=h\)

Therefore, height of our given oblique cylinder is 25 meters.

Answer:

25

Step-by-step explanation: