Ross will make a water balloon that can be modeled with a sphere. A constraint he must consider is that when the radius of the balloon exceeds 5 inches, the balloon will pop. If he uses a garden hose with a flow rate of 12 gallons per minute to fill up the balloon, for how many seconds can he fill it before it pops? Round to the nearest tenth of a second. (1 gallon = 231 cubic inches)

Answers

Answered by R_scott
v = 4/3 π r^3 = 4/3 * π * 125

12 gal/min = 1 gal / 5 s = 231 in^3 / 5s

calculate the volume , and the fill rate per second

divide the volume by the fill rate
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