A cylinder is within the cube touching all the vertical faces. A cone is inside the cylinder. If their height are the same with the same base, find the ratio of their volumes
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Ratio is 3:1 By equating Volume of cylinder and volume of cone equal
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Let side of cube = 2a
Diameter of cylinder = side length of cube = 2a
Radius of cylinder = 2a/2 = a
Height of cube is 2a and is same for
Ratio of volumes = (2a)³/πa²(2a)
= 8a³/π2a³
= 4/π
= 4×7/22
= 14/11
= 14:11
Diameter of cylinder = side length of cube = 2a
Radius of cylinder = 2a/2 = a
Height of cube is 2a and is same for
Ratio of volumes = (2a)³/πa²(2a)
= 8a³/π2a³
= 4/π
= 4×7/22
= 14/11
= 14:11
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