Question
The ratio of the height of cylinder and cone is 14:27,
and ratio of the radius is 6:7. The cylinder and cone are transformed into two cubes, respectively. Â What will be the ratio of the edge of two cubes?Solution
Ratio of the volume of cylinder and cone = 3x(36/49) x (14/27) Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 8/7 They are changed into cubes So, the volume will be same for cube as it is for cylinder and cone Let the edge of cube converted from the Cylinder = a Let the edge of the cube converted from the Cone = b Ratio of volume of cube = a3 / b3 8/7 = a3 / b3 2/71/3 = a/b
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