A sphere and right circular cylinder of same radius have equal volumes. By what % does diameter of cylinder exceed its height. Answer needed urgently.
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let the equal radius of both sphere and cylinder be r and height ofthe cylinder be r.
volume of cylinder = volume of sphere
pir²h= 4/3pi r³
H=4/3r
2r=3h/2
D=3h/2 { D beath diametre of cylinder}
D=3h/2=3/2*100%= 150%
so required difference= 150-100%=50%
hence diameter of cylinder exceed its height by 50%
volume of cylinder = volume of sphere
pir²h= 4/3pi r³
H=4/3r
2r=3h/2
D=3h/2 { D beath diametre of cylinder}
D=3h/2=3/2*100%= 150%
so required difference= 150-100%=50%
hence diameter of cylinder exceed its height by 50%
kusumsharmaskm:
How can we write 4/3 r as 3h/2
Can you please xplain
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