a sphere and cylinder of same radius have equal volumes by what percent does the diameter of the cylinder exceed its height
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Volume of sphere(V1)=4/3Πr³
Volume of cylinder(V2)=Πr²h
V1=V2
4/3Πr³=Πr²h
4/3r=h. [ Since sphere and cylinder have same radius]
diameter of cylinder=d
height of cylinder=4/6d
%=d*100/4/6d
%=100/4/6
%=600/4
%=150%
Hence, required percentage=150-100=50%.
Volume of cylinder(V2)=Πr²h
V1=V2
4/3Πr³=Πr²h
4/3r=h. [ Since sphere and cylinder have same radius]
diameter of cylinder=d
height of cylinder=4/6d
%=d*100/4/6d
%=100/4/6
%=600/4
%=150%
Hence, required percentage=150-100=50%.
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