InterviewSolution
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InterviewSolution
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If a solid right circular cone of height r unit is made by melting a solid sphere of radius r unit . Then the radius of the base of the cone will beA. 2r unitB. 3r unitC. r unitD. 4r unit |
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Answer» Correct Answer - A Radius of the sphere = r unit ` :.` Volume of the sphere ` = 4/3 pir^(3) ` cubic - unit Also , the height of the cone Let the radius of the base of the cone be `r_(1)` unit ` :. ` Let the radius of the base ` = r_(1)` unit ` :. ` Let the radius of the base = ` r_(1)` unit ` :. ` the volume of the cone ` = 1/3 pir_(1)^(2) xx r ` cubic - unit As per question , ` 1/3 pir_(1)^(2) xx r = 4/3 pir^(3) ` ` rArr r_(1)^(2) = 4r^(2) rArr r_(1)^(2) = (2r)^(2) rArr r_(1) = 2r` ` :. ` radius of the cone = 2r unit Hence (a ) is correct |
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