Question

if the radius of the sphere is doubled find the ratio of the volume of the new sphere to the original sphere​

Answer 1

Heya

_______________________________

GOOD MORNING

=>

Volume of sphere having radius r is =

4/3(π×r³)

=>

Volume of original sphere ( V1 ) = 4/3 ) π× r³

=>

Volume of sphere when radius is doubled is ( V2) = 4/3 ( π (2r)³ )

=>

V1/ V2 ={ 4/3(πr³ ) } / (4/3) (π ×2³ × r³ )

=>

V1/V2 = 1:2³

=>

V1/V2 = 1:8

=>

V2/V1 = 8:1

So, the of new sphere to the original sphere is 8:1

Answer 2

Answer:

Volume of sphere having radius r is =

4/3(π×r³)

=>

Volume of original sphere ( V1 ) = 4/3 ) π× r³

=>

Volume of sphere when radius is doubled is ( V2) = 4/3 ( π (2r)³ )

=>

V1/ V2 ={ 4/3(πr³ ) } / (4/3) (π ×2³ × r³ )

=>

V1/V2 = 1:2³

=>

V1/V2 = 1:8

=>

V2/V1 = 8:1

So, the of new sphere to the original sphere is 8:1