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Part 3 Module 9 Real-world problems involving volume

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Useful facts - volume The following facts will be provided on a formula sheet when you take quizzes or tests on this material in lab.

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Exercise #1 The pedestal on which a statue is raised is a rectangular concrete solid measuring 9 feet long, 9 feet wide and 6 inches high. How much is the cost of the concrete in the pedestal, if concrete costs $70 per cubic yard? A. $34,020 B. $105 C. $315 D. $2835

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Exercise #2 Gomer stores his iguana food in a can that is 8 inches tall and has a diameter of 6 inches. He stores his hamster food in a can that is 10 inches tall and has a diameter of 5 inches. Which can is larger? A. The iguana food can. B. The hamster food can. C. They are the same size. D. There is insufficient information to answer this question.

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Exercise #3 Plato the candle-maker has a bunch of round (spherical) scented candles which are 14 centimeters in diameter. Plato wants to melt some of them down to make cylindrical candles with a diameter of 30 centimeters and a height of 26 centimeters. How many of the spherical candles are needed to make one of the cylindrical candles? A B C. 7.93D

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Exercise #4 (Based on a true story) Gomer has been working out by lifting weights. He has been using spherical lead-alloy weights with a radius of 3 inches. Each sphere weighs 20 pounds. Now he wishes to lift 100 pound weights, so he special-orders spherical weights, made of the same material, but with a radius of 15 inches. Why is Gomer in intensive care? Why is Gomer bankrupt?

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Exercise #5 The formula N = DV can be used to determine the number (N) of five-pound bags of ice needed to reduce the temperature of a small body of water by D degrees Fahrenheit where V is the volume of water (in cubic feet). Archimedes has a cone-shaped water garden with a radius of 9.5 feet filled to a depth of 17 inches. How many bags of ice are needed to reduce the temperature of the water from 91 degrees to 82 degrees? A. 74B. 11C. 886D. 1205

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