SOLUTION: A jar in the shape of a 9-inch tall cylinder with a circular base of diameter 6 inches is completely filled with gumballs of diameter 3/4 inches. Estimate the number of gum balls i
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Question 703530: A jar in the shape of a 9-inch tall cylinder with a circular base of diameter 6 inches is completely filled with gumballs of diameter 3/4 inches. Estimate the number of gum balls in the jar, explain your reasoning. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A jar in the shape of a 9-inch tall cylinder with a circular base of diameter 6 inches is completely filled with gumballs of diameter 3/4 inches. Estimate the number of gum balls in the jar, explain your reasoning.
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Volume of the cylinder = area of base * height
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Area of the base = (pi)3^2 = 9(pi) sq inches
Volume of the cylinder = 9(pi)*9 = 81(pi) cu in
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Volume of each gumball = (4/3)pir^3 = (4/3)(pi)(3/8)^3 = 0.0703(pi) cu in
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# of balls = vol of shere / vol of gumball = (81pi)/(0.0703pi) = 1152
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Cheers,
Stan H.
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