Find the diameter of the new sphere assuming that the volume of a sphere is proportional to the cube of its diameter

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Find the diameter of the new sphere assuming that the volume of a sphere is proportional to the cube of its diameter. I know that diameter is equal to the twice of radius. How can you possibly solve this if the radius in the formula of the sphere is radius cube.

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What is the "new" sphere? Anyway, if $D$ is the diameter and $R$ the radius and if you have $V=\alpha R^3$

You will have $V=\alpha (\dfrac{D}{2})^3$...