Question

an oblique cylinder has a radius of 9 centimeters and a volume of 486π cubic centimeters. use cavalieri’s principle to calculate the height of the solid.
8 meters
6 meters
7 meters
5 meters

Explanation:

Step1: Recall volume formula for cylinder

Volume of cylinder: $V = \pi r^2 h$ (by Cavalieri’s Principle, oblique cylinder volume equals right cylinder volume with same base and height).

Step2: Substitute known values

Given $V = 486\pi$, $r = 9$. So $486\pi = \pi (9)^2 h$.

Step3: Simplify and solve for h

Cancel $\pi$: $486 = 81h$. Then $h = \frac{486}{81} = 6$.

Answer:

B. 6 meters