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Mice21 [21]
3 years ago
6

How much longer does it take to inflate a balloon to a diameter of 28 inches instead of a diameter of 7 inches. assume the rate

that air enters is constant?
Physics
2 answers:
hram777 [196]3 years ago
4 0
When inflating the balloon to a diameter of  7 inches, the final volume is
V₁ = (4/3)π*(7/2 in)³ = 57.1667π in³

When inflating the balloon to a diameter of 28 in, the final volume is
V₂ = (4/3)π*(28/2 in)³ = 3658.7π in³

If the rate of air entry into the balloon is constant, then
V₂/V₁ = 3658.7/57.1667 = 64

Answer: it takes 64 times longer.
ella [17]3 years ago
3 0
<span>It takes 64 times longer to inflate a balloon to a diameter of 28 inches instead of a diameter of 7 inches.</span>
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