Answered: Water is pouring into an inverted cone…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter2: Functions And Graphs

Section2.6: Proportion And Variation

Problem 45E

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Similar questions

Volume of Grain Grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height. How high is the pile (to the nearest hundredth of a foot) when it contains 1000 ft3 of grain?
Speed of a Skidding Car Police use the formula s=30fd To estimate the speed s (in mi/h) at which a car is traveling if it skids d feet after the brakes are applied suddenly. The number f is the coefficient of friction of the road, which is a measured of the “slipperiness” of the road. The table gives some typical estimates for f . If a car skids 65 ft. on wet concrete, how fast was is moving when the brakes were applied? If a car is traveling at 50 mi/h, how far will it skid on wet tar?
The Ideal Gas Law A mole of a chemical is a fixed number, like a dozen, of molecules or atoms in the case of an element of that compound. A mole of water, for example, is about 18 grams, or just over half an ounce in your kitchen. Chemists often use the mole as the measure of the amount of a chemical compound. A mole of carbon dioxide has a fixed mass, but the volume V that it occupies depends on pressure p and temperature T; greater pressure tends to compress the gas into a smaller volume, whereas increasing temperature tends to make the gas expand into a larger volume. If we measure the pressure in atmospheres 1 atm is the pressure exerted by the atmosphere at sea level, the temperature in kelvins, and the volume in liters, then the relationship is given by the ideal gas law: pV=0.082T. a. Solve the ideal gas law for the volume V. b. What is the volume of 1 mole of carbon dioxide under 3 atm of pressure at a temperature of 300 kelvins? c. Solve the ideal gas law for pressure. d. What is the pressure on 1 mole of carbon dioxide if it occupies a volume of 0.4 liter at a temperature of 350 kelvins? e. Solve the ideal gas law for temperature. f. At what temperature will 1 mole of carbon dioxide occupy a volume of 2 liters under a pressure of 0.3 atm?

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Water is pouring into an inverted cone at the rate of 8 cubic meters per minute. If the height of the cone is 12 meters and the radius of its base is 6 meters, how fast is the water rising when the water is 4- meter deep? meter/minute meter/minute meter/minute meter/minute