on the same circular base and of the same height ,a cone ,a hemisphere and a cylinder are formed . find the ratio of the volumes of the cone, hemisphere and cylinder
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Answered by
41
let radius is r of cone,cylinder and hemisphere.
height of hemisphere is its radius.so their height is also r.
ratio = 1 / 3 pie r cu:2 / 3 pie r cu:pie r cu
=1 / 3:2 / 3: 1
= 1:2: 3
height of hemisphere is its radius.so their height is also r.
ratio = 1 / 3 pie r cu:2 / 3 pie r cu:pie r cu
=1 / 3:2 / 3: 1
= 1:2: 3
Answered by
42
Answer:
Step-by-step explanation:
Volume of cone = (1/3)πr2h Volume of hemisphere = (2/3)πr3 Volume of cylinder = πr2h Given that cone, hemisphere and cylinder have equal base and same height That is r = h Volume of cone : Volume of hemisphere : Volume of cylinder = (1/3)πr2h : (2/3)πr3 : πr2h = (1/3)πr3 : (2/3)πr3 : πr3 = (1/3) : (2/3) : 1 = 1: 2: 3
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