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Original Volume of cylinder= 22/7 x r^2 x h

when radius= r/2 and height= 2h

then new volume= 22/7 x (r/2)^2 x (2h)

Original volume/ new volume= 2

therefore when radius is halved and height is doubled then the new volume becomes 1/2 times of the original volume.

1 3 1
The Brainliest Answer!
Volume of a cylinder =  \pi r²h
original volume         =  \pi r²h
new radius               =r/2
new height               =2h
mew volume            =  \pi (r/2)² × 2h
                              =  \pi r²/4 × 2h
                              =  \pi  r²/2 × h
Volume of original cylinder : volume of new cylider = \pi r²h:  \pi r²/2 × h
                                                                          =r² : r²/2 ( \pi and h                                                                                                       cancelled)
                                                                  Multiplying by 2
                                                                          = 2r² : r² (r² cancelled)
                                                                          = 2

2 5 2
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