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What happens to the volume of a sphere when its radius is doubled? a,Its volume is doubled b,2r^3 cubic units are added to the volume c,its volume is 2^3 times is original voume d,none of the answer choices
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What happens to the volume of a sphere when its radius is doubled?

a,Its volume is doubled
b,2r^3 cubic units are added to the volume
c,its volume is 2^3 times is original voume
d,none of the answer choices are true

User Keosha
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1 Answer

4 votes
vsphere=(4/3)pir^3

when we replace r with 2r

newvsphere=(4/3)pi(2r)^3
newvsphere=(4/3)pi8r^3
newvsphere=8((4/3)pir^3)
newvsphere=8(vsphere)
it's volume is multipliied by 8

that is choice C, because 2^3=8, it's vollume is 8 times original voluem


answer is C
User Sashab
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