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emmasim [6.3K]
3 years ago
14

What happens to the volume of a sphere when its diameter is doubled?

Mathematics
2 answers:
pochemuha3 years ago
5 0
To determine the effect of changing the diameter of a sphere to its volume, we would need to know the formula for the volume of a sphere which is V = 4πr³/3 where r is half of the diameter. As you can see, there is a direct relationship.

r1 = d1/2
r2 = d2/2 = 2d1/2 = d1

V2/V1 = (4πd1³/3) / (4π(d1/2)³/3)
V2/V1 = 8

Therefore, the volume of the sphere would be 8 times the original volume.
____ [38]3 years ago
4 0

Answer:

The Volume is 8 times greater

Step-by-step explanation:

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