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let radius of hemisphere be R.
volume of hemisphere=2/3x22/7xR^3
Now, diameter of hemisphere=diameter of cylinder
So, radius of hemisphere = radius of cylinder=R.
it is written that radius is 50% more than height.
So, if height = h then radius can be written as h+1/2h= 3/2h.
So, R= 3/2h
Now, Volume of cylinder=22/7xR^2xh OR,
22/7x(3/2h)^2 x h
=22/7 x 9/4h^2 x h
=7.071 h^3
hope it helps you.
venkatlohith20141225:
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