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20-03-2017
Mathematics

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What happens to the volume of a sphere when the radius is multiplied by 4?

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20-03-2017

Vsphere=(4/3)pir^3
Voriginal=(4/3)pir^3

when radius is multiplied by 4
replace r with 4r
Vnew=(4/3)pi(4r)^3
Vnew=(4/3)pi(64r^3)
Vnew=(64)(4/3)pir^3
Vnew=(64)(Voriginal)
the volume is 64 times the original

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