Question

If a wooden cylinder of radius 'r' and height 'h' is peeled to produce a perfect cone of same radius and height, then find the volume of the peels​

Answer 1

Answer:

volume of peeled wood = 2πr²h/3

Step-by-step explanation:

Volume of a cylinder of height 'h and radius 'r' is

V = πr²h

Volume of cone of same height and same base radius is

V=πr²h/3

The difference in volume = πr²h  - πr²h/3 = 2πr²h/3

This is equal to the volume of the peeled wood from the cylinder.

Hence volume of peeled wood = 2πr²h/3