Question

An oblique cylinder has a radius of 8 inches and a volume of 1,024 cubic inches. Use Cavalieri’s Principle to calculate the height of the solid. 15 meters 16 meters 20 meters 25 meters

Answer 1

16 meters

Explanation:

you since it is a oblique cylinder you square the radius then divide the radius by the volume.

Answer 2

Remark
All Cavaliere's principle says is that a slanted cylinder (for example) has the same volume as a cylinder with perpendicular parallel lines that the cylinder is sitting on.

I little known or maybe not a well emphasized fact is that the base is the same all the way up the cylinder. The coin picture below shows that. The basic formula for a Cavaliere cylinder is the same as for an ordinary cylinder.

See picture below

Formula
V = B * H

Sub and Solve
V = 1024
r = 8
p=3.14

V = pi*r^2 * h
1024 = 3.14*8^2 * h combine the right side.
1024 = 3.14*64 *h
1024 = 200.96 * h divide by 200.96
1024/200.96 = h
You are only getting 5 inches.

None of your answers work.The conversion to meters is going to give you an even smaller number. If you add a comment, I'll come back and edit this question.