Answer:
Volume of Cylinder using Cavalieri's Principle is [tex]9847.04ft^{3}[/tex].
Step-by-step explanation:
Given that,
Area of cross-section of a solid cylinder is [tex]803.84ft^{2}[/tex].
Height of solid is [tex]12.25 ft[/tex].
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 = [tex]Area \ of \ cross-section \times height[/tex]
Substituting the given value we get,
Volume of cylinder = [tex]803.84ft^{2} \times 12.25ft[/tex]
[tex]= 9847.04 ft^{3}[/tex]
Hence, Volume of Cylinder using Cavalieri's Principle is [tex]9847.04ft^{3}[/tex].
