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Grade: 10
        
If a cone is cut into two parts by a horizontal plane passing through the mid points of its axis,then what is the ratio of the volumes of upper and lower part?
9 months ago

Answers : (1)

Arun
13939 Points
							If we cut cone from midpoint then
use similarly concept.
let r is radius of above part and R is the radius of base of cone.
R/r=h/(h/2)=2/1
R=2r
now 
volume of cone =πR2h
=π(2r)2h=4πr2h volume of small cone =πr2h/2
now,
volume of below part =4πr2h-πr2h/2
=7/2 πr2
now ratio = volume of above part/volume of below part
=(πr2h/2)/(7/2πr2h)=1/7
hence ratio =1:7
9 months ago
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