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Two solid cones A and B are placed in a ...

Two solid cones A and B are placed in a cylindrical tube as shown in the figure The ratio of their capacities is 2:1 Find the heights and capacities of cones Also find the volume of the remaining portion of the cylinder. 21 cm

Text Solution

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`V_1/V_2=2/1=(1/3pir^2h_1)/(1/3pir^2h_2)`
`h_1/h_2=2`
`h_1=2h_2`
`h_1+h_2=21`
`2h_2+h_2=21`
`h_2=7`
`h_1=14 cm`
`V_1=1/3*22/7*9*14=132cm^3`
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