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A cylinder and a cone have the same height and same radius of the base. Find the ratio between the volumes of the cylinder and the cone. |
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Answer» N:_________________________ANSWER:The RATIO between the volumes of the CYLINDER and the cone is 3:1.GIVEN:A cylinder and a cone have the same height and same radius of the base.TO FIND:Find the ratio between the volumes of the cylinder and the cone. SOLUTION:Let the ratio be xFORMULA TO FIND:VOLUME of the cone = 1/3 × πr² hVolume of a cylinder = πr²hSOLVING BY APPLYING THE FORMULA:= πr²h ÷ 1/3 πr²h= πr²h × 3/πr²h= 3πr²h/πr²hCancel πr²h from both the SIDES.= 3There is nothing on the other side. So , it will be one.Ratio = 3:1Hence , The ratio between the volumes of the cylinder and the cone is 3:1._________________________ |
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