j3duchongrath j3duchongrath

08-08-2016
Mathematics

contestada

If a sphere’s volume is doubled, what is the corresponding change in its radius?

Respuesta :

08-08-2016

Volume of a sphere = (4/3) (pi) (radius)³

The sphere's volume is proportional to the cube of its radius,
so the radius is proportional to the cube-root of the volume.

The only way to double a sphere's volume is to increase
its radius by the factor of
∛2 = 1.26 (rounded).

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