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.
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.