Radius of basketball is twice the radius of cricket ball find the ratio of their volumes

Answer 1

The formula for volume of a sphere is V = 4/3 π r³

Let R = radius of cricket ball, then 2R = radius of basketball.

To find the ratio of the volume of the basketball to volume of cricket ball:

4/3 π (2R)³

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4/3 π (R)³

Notice that the 4/3 π factors cancel out.

So we have:

8R³/ R³

The R³ cancel out so the ratio of the volumes is 8 to 1.