InterviewSolution
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InterviewSolution
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The length of radius of base of a solid right circular cone is equal to the length of radius of a solid sphere . If the volume of the sphere is 2 times the volume of the cone , then find the ratio of the height and radius of base of the cone . |
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Answer» Let the radius of the base of the cone = r unit ` :. ` the radius of the sphere = r unit Let the height of the cone = h unit ` :.` the volume of the cone ` = 1/2 pi r^(2) h` cubic - unit and the volume of the sphere `= 4/3 pi r^(3)` cubic - unit As per question , ` 2xx 1/3 pi r^(2) h = 4/3 pir^(3)` ` rArr h/r = 4/2 rArr h/r = 2/1 rArr h : r = 2 : 1 ` Hence the required ratio is 2:1 |
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