Question

The radius of a sphere is multiplied by 1/7. What effect does this have on the volume of the sphere?

Answer 1

Answer:

The volume of the sphere is multiplied by 1/343.

Step-by-step explanation:

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Answer 2

Answer:

The new volume is 1/343 of the old volume or the ratio of the new volume to the old volume is 1 to 343

Step-by-step explanation:

In this question, we are asked to state the effect of multiplying the radius of a sphere by 1/7 on the volume.

Mathematically, the volume of a sphere V can be calculated using the formula

V = 4/3 * π * r^3

Now multiplying the radius by 1/7, the new radius will be r/7

Thus the new volume here will be

V2 = 4/3 * π * (r/7)^3

V2 = 4/3 * π * (r^3)/343

Thus we can conclude that the value of the volume will be decreased by a factor of 343

Meaning the ratio of the old volume to the new volume will be 1 to 343