The radius of a spherical balloon is inflated from 3.5 cm to 4.9 cm by pushing air into it. What is the percentage increase in the volume of the original balloon?
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Correct answer: A
Explanation
The correct answer is option 1 i.e. 174.4%
the initial volume of the spherical balloon = 4/3 × × (3.5)3 = 4/3 × × 42.875
The final volume of the spherical balloon = 4/3 × × (4.9)3 = 4/3 × × 117.649.
% increase = (4/3 × × 74.774)/(4/3 × × 42.875 ) × 100 = 174.4%.