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

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 2

The answer you are looking for is 25.
2500 / 10² = 25
Since the formula for finding the volume is 
V = Pi r² h