Bubble Fusion
Geometry
Level
3
Twin uniform bubbles merge at each others center point. Find the resultant reduction in net volume in terms of percentage of the initial total.
Give your answer to 3 decimal places.
The answer is 15.625.
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1 solution
Net volume = 1 6 2 7 x 3 4 x pi x r^3 = 3 2 2 7 x 3 8 x pi x r^3 = 4 9 x pi x r^3
Net reduction = 3 8 - 4 9 = 15.625%