Question

An oblique cylinder has a radius of 9 centimeters and a volume of 486 cubic centimeters. Use Cavalieri’s Principle to calculate the height of the solid.

Answer 1

Cavalieri's Principle states that the volume of an oblique cylinder is equal to the product of the area of the base and the height. Mathematically, this can be expressed as,
                                    volume = Bh
                                      V = (πD²/4)h
where D is diameter and h is the height. Substituting the known values from the given above,
                                      486 cm³ =((π)(9 cm)²/4) x h
The value of h from the generated equation is equal to 7.64 cm. Thus, the height of the oblique cylinder is approximately 7.64 cm.