Question

The radius of the large sphere is double the radius of the

small sphere
How many times is the volume of the large sphere than the
small sphere?
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Answer 1

Given:

Radius of large sphere: R1

Volume of sphere: V1

Radius of small sphere: R2

Volume of sphere: V2

R1=2R2

We know that:

Volume of a sphere: 4/3πR^3

Volume of large sphere: 4/3πR1^3

Now we know that R1=2R2(given)

Thus volume of large sphere(V1) 32/3πR2^3.

Volume of small sphere(V2): 4/3πR2^3.

Ratio of volume of large sphere to small sphere is 8:1.

Explanation: