Question

Use Cavalieri’s Principle to calculate the exact volume of an oblique cylinder with a radius of 15 meters and a height of 12 meters.

Answer 1

The answer is 2700π m³

Explanation:

we can use the formula V=bh regardless of the resulting shape.

V = bh = π(15 m)²(12 m) = 2700π m³ ≈ 8482.3 m³

Answer 2

Cavalieri's principle states that volume formulas for pyramids and cones will also apply to both right and oblique solids, as long as the "matching" cross section areas are equal.

So we can use the formula V=bh regardless of the resulting shape.
V = bh = π(15 m)²(12 m) = 2700π m³ ≈ 8482.3 m³