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The diameter and height of a right circular cylinder are equal to the diameter of a sphere. Find the ratio of volumes of cylinder and sphere. |
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Answer» Let radius of sphere = r `therefore` Volume of sphere `V_(1)=(4)/(3)pi r^(3)` Now, the diameter of cylinder = diameter of sphere = 2r `therefore` radius of cylinder = r and height of cylinder = 2r Now, volume of cylinder `= pi r^(2)(2r)=2pi r^(3)` `therefore ("Volume of cylinder")/("Volume of sphere")=(2pi r^(3))/((4)/(3)pi r^(3))=(3)/(2)` `rArr` Required ratio = 3 : 2 |
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