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Let the radius be r and height  be h
volume =  \pi  r^{2}  h
if the radius is halved then radius = r/2
and height is doubled ,so height= 2h

volume =[ \pi r*r/4*2h
             =  \pi *r ^{2} *h/2

hence the volume will be halved

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Volume of the cylinder is πr²h
hear the question is radius is halved it means
radius =r/2
height is doubled it means
height =2h
volume of cylinder = 22 /7 x (r/2)x(r/2) x 2h
then volume of cylinder will be 1/2πr²h
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