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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?

Respuesta :

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.
W0lf93
It takes 64 times longer to inflate a balloon to a diameter of 28 inches instead of a diameter of 7 inches.

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