Question

The area of cross-section of a solid cylinder is 803.84 ft2, and the height of the solid is 12.25 ft. Find the volume of the solid

cylinder using the Cavalieri's Principle.

9800.25 ft

9587.15 f3

9847.04 ft3

9807.50 ft

Answer 1

Volume of Cylinder using Cavalieri's Principle is
`9847.04ft^(3)`.

Explanation:

Given that,

Area of cross-section of a solid cylinder is
`803.84ft^(2)`.

Height of solid is
`12.25 ft`.

According to Question,

The Cavalieri's Principle : if two or more solid figures have same cross-sectional area at energy level and height is same then its volume is same.

So, Volume of Cylinder =
`Area \ of \ cross-section * height`

Substituting the given value we get,

Volume of cylinder =
`803.84ft^(2) * 12.25ft`

`= 9847.04 ft^(3)`

Hence, Volume of Cylinder using Cavalieri's Principle is
`9847.04ft^(3)`.