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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.**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**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.**www.math.fsu.edu/~wooland/GeoNew/Geo26.html**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. 12.79 B. 27.41 C. 7.93 D. 17.06 Exercise #3**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?**Exercise #5**www.math.fsu.edu/~wooland/GeoNew/Geo12.html The formula N = 0.06125DV 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. 74 B. 11 C. 886 D. 1205