Question

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 1

25

Explanation:

Answer 2

25 meters.

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.