# In a cylinder its radius is halved and height is doubled then find the ratio of volume of original to new one.

Solution: Volume of a cylinder=$\\\pi r^2h$

Original volume =$\\\pi r^2h$

New radius =$\\ r/2$

New height =$\\ 2h$

New volume =$\\ \pi \times (r/2)^2\times 2h=\pi \times r^2/2\times h$

Volume of original cylinder : Volume of new cylinder =$\\ (\pi \times r^2\times h):(\pi \times r^2/2\times h)=2$

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