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

2 Answers

7 votes

Answer:

Its volume is 8 times greater.

Explanation:

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answered
User Neil Bartlett
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2 votes
Consider this solution:
1) formula of volume is
V= (4)/(3) \pi r^3, where \ r - radius
2) if new_r=2r, then the formula is
new_V= (4)/(3)*(2r)^3= (4)/(3) \pi *8r^3=8*( (4)/(3) \pi r^3)
3) new_V/V=8:1
The volume increases by 8 times.
answered
User Hassan Hodges
by
8.3k points

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