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.

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.