Question

Use Cavalieri’s Principle to calculate the exact volume of an oblique cylinder with a radius of 10 meters and a height of 11 meters

Answer 1

Answer: Volume of oblique cylinder is 3457.14 m².

Step-by-step explanation:

Since we have given that

Radius of cylinder = 10 meters

height of cylinder = 11 meters

Cavalieri's Principle states that the volume of oblique cylinder is same as the volume of right circular cylinder with equal radius and height.

As we know the formula for "Volume of cylinder":

$V=\pi r^2h\\\\V=\frac{22}{7}\times 10\times 10\times 11\\\\V=3457.14\ m^2$

Hence, Volume of oblique cylinder is 3457.14 m².

Answer 2

Recall that Cavalieri's Principle only says that if an oblique cylinder, like in this case, has the same cross-section all the way up, it has the same volume as a non-oblique cylinder.

so, the volume of a cylinder is V = πr²h.

now, we know the radius is 10, and the height is 11, so then V = π10²*11 is its volume.