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9. Construction sand is piled in a right cone that has a height of 30 feet and a diameter of 110 feet. The sand

  

9. Construction sand is piled in a right cone that has a height of 30 feet and a diameter of 110 feet. The sand has a density of 98.0 lb/ft. a) Determine the volume of the cone to the nearest 0.1 ft. b) Determine the mass of the sand in the cone (to the nearest 10 lbm). c) Assuming a dump truck can hold 17 cu. yards of sand per load, how many full truckloads of sand can be made from the stockpile? (report to the nearest truckload). d) How much does one dump truck load of sand weigh? (report to the nearest 1 lb, ignore the weight of the truck). 10. A detention basin for storing stormwater runoff from a proposed shopping center site development plan is excavated from a level portion of the site. The basin is rectangular in shape, 145 feet wide, 270 feet long, and 8 feet deep from top of the excavation to the bottom, which is flat. Assume the side slopes of the basin are 3:1 (H:V). a) Draw a sketch of the basin showing all dimensions. b) How many cubic yards of earth were removed in the excavation of the pond (report to nearest cubic yard). c) How many gallons of stormwater can be stored in the basin if it is filled to a depth of 6.5 feet? (report to nearest 100 gallons). L L L LS

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a To determine the volume of the cone we can use the formula for the volume of a cone V 13 r h Given ... blur-text-image

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