If a spherical balloon grows to twice its radius when inflated, then the ratio of the volume of the inflated balloon to the original balloon is
  • a)
    it is 8 : 1
  • b)
    it is 4 : 1
  • c)
    it is 5 : 1
  • d)
    it is 6 : 1
Correct answer is option 'A'. Can you explain this answer?

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Answers

Aditi Bhosale
Jan 23, 2022
Volume of spherical balloon before inflating-4/3πr³,
Volume of spherical balloon after inflating-4/3π(2r)³
Ratio of volume of infalte balloon to original
=4/3π(2r)³/4/3πr³
=2r³/r³=(2)³(r)³/(r)³
=2³/1
=8/1=8:1, so option 'A' is correct

Volume of spherical balloon before inflating-4/3πr³,Volume of spherical balloon after inflating-4/3π(2r)³Ratio of volume of infalte balloon to original=4/3π(2r)³/4/3πr³=2r³/r³=(2)³(r)³/(r)³=2³/1=8/1=8:1, so option 'A' is correct
Volume of spherical balloon before inflating-4/3πr³,Volume of spherical balloon after inflating-4/3π(2r)³Ratio of volume of infalte balloon to original=4/3π(2r)³/4/3πr³=2r³/r³=(2)³(r)³/(r)³=2³/1=8/1=8:1, so option 'A' is correct