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The figure shows that the height of the cylinder is equal to the diameter of the sphere.
The volume of the cylinder is V = Area of the base*height
The base of cylinder is a circle. The radius of this circle is equal to the radius of the sphere.
`V = pi*r^2*(2r) =gt V = 2pi*r^3`
The volume of the sphere is `V_1 = 4pi*r^3/3`
Calculating the ratio of their volumes yields:
`V/(V_1) = (2pi*r^3)/((4pi*r^3)/3)`
Reducing by `2pi*r^3` yields: `V/(V_1) = 3/2`
The ratio of the volumes is: volume of cylinder:volume of sphere=3:2.
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