# MATHEMATICS PRACTICE PROBLEMS

May 19th, 2015
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1. The diameter of a sphere is equal to the base diameter of a right circular cone. What percentage of that diameter must the cone’s height be so that the volume of both solids is equal? (4/81) a) 100% b) 200% c) 300% d) 250% 2. A tank contains 100 gallons of brine made by dissolving 60 pounds of salt in water. Salt water containing one pound of salt per gallon runs in at the rate of two gallons per minute

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MATHEMATICS PRACTICE PROBLEMS1. The diameter of a sphere is equal to the base diameter of a right circular cone. What percentage of that diameter must the cones height be so that the volume of both solids is equal? (4/81)a) 100%b) 200%c) 300%d) 250%2. A tank contains 100 gallons of brine made by dissolving 60 pounds of salt in water. Salt water containing one pound of salt per gallon runs in at the rate of two gallons per minute. A well-stirred mixture runs out of the tank at the rate of 3 gallons per minute. Find the amount of salt in the tank in ponds at the end of one hour. (4/81)a) 73.44b) 44.73c) 37.44d) 12.883. A satellite orbits around the earth in an elliptical path with eccentricity of 0.6 and the semi-minor axis of length 12,000 miles. If the center of the earth is at one of the foci, find the maximum altitude of the satellite. (4/81)a) 36,000 mi.b) 12,000 mic) 18,000 mid) 24,000 mi4. A corner lot of land is 35 meters on one street and 25 meters on the other street, the angle between the two lines of the street being 82o25. The other two lines of the lot are respectively perpendicular to the lines of the streets. What is the worth of the lot, in PhP, if land sells at PhP 180 per square meter? (4/81)a) 136, 730b) 234, 450c) 188, 289d) 56, 1275. A parabolic trough is 3 meters long, one foot across the top and one foot deep. Find the volume of water in the through, in liters, if the trough is filled to a depth of 6 inches. (10

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