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Name: Math 185 Exam 1 Spring 19 10. A tank has the shape of an inverted right circular cone with ...
(1 point) A tank in the shape of an inverted right circular cone has height 5...
(1 point) A tank in the shape of an inverted right circular cone has height 5 meters and radius 2 meters. It is filled with 4 meters of hot chocolate. Find the work required to empty the tank by pumping the hot chocolate over the top of the tank. The density of hot chocolate is 8 = 1010 kg/m3. Your answer must include the correct units. Work =
A tank in the shape of an inverted right circular cone has height 5 meters and...
A tank in the shape of an inverted right circular cone has height 5 meters and radius 3 meters. It is filled with 2 meters of hot chocolate. Find the work required to empty the tank by pumping the hot chocolate over the top of the tank. The density of hot chocolate is δ=1040 kg/m^3. Your answer must include the correct units.
A tank has a shape of a cone with a radius at the top of 2...
A tank has a shape of a cone with a radius at the top of 2 m and a height of 5 m. The tank also has a 1 m spout at the top of the tank. The tank is filled with water up to a height of 2 m. Find the work needed to pump all the water out the top of the spout. (Use 9.8 m/s2 for g and the fact that the density of water is 1000...
A water tank has the shape of an inverted cone of height 9 m with a...
A water tank has the shape of an inverted cone of height 9 m with a circular base of radius 3 m. If water is being pumped into the tank at 4 m/min, how fast is the water level rising when the water is 3 m deep Round your answer to two decimal places The water level is rising at a rate of Number Units
Problem 3 A water tank has the shape of an inverted circular cone with base radius Rand height H....
Problem 3 A water tank has the shape of an inverted circular cone with base radius Rand height H. If water is being pumped into the tank, and at certain timeo 0, (in seconds) the height of the water is given by h(t). (a) Sketch h(t) for t0. (Briefly, sketch the diagram, however, indicate the maximum height on the y axis.) (b) Is the graph concave upward or concave downward? e Suppose a bce Which do you think r he)-Ex...
A water tank has the shape of an inverted cone of height 6 m with a...
A water tank has the shape of an inverted cone of height 6 m with a circular base of radius 2 m. If water is being pumped into the tank at 3 m?/min, how fast is the water level rising when the water is 4 m deep. Round your answer to two decimal places. The water level is rising at a rate of Number Units The area of a square is increasing at a rate of 28 centimeters squared per...
A water tank has the shape of an inverted circular cone with radius 2 ft and...
A water tank has the shape of an inverted circular cone with radius 2 ft and depth 8 ft. Water is leaking out of the tank at a rate of 1.5 ft/min. a. Compare the rate of change in the depth of the water when h=6 ft to the rate of change in the depth of the water when h-3 ft. Would these rates be the same or different? If different, describe how they would be different and why. Be...
(10 pts) 2. The conical tank (inverted – think of an ice cream cone) with height...
(10 pts) 2. The conical tank (inverted – think of an ice cream cone) with height of 5 ft and the top base radius of 3 ft is fully filled with gasoline weighing 42 lb/ft?. How much work does it take to pump the gas to the level 2 ft above the cone's rim? (Imagine the top of the tank is 2 ft below the ground and you want to pump gas to the ground level).
(1 point) Book Problem 9 A heavy rope, 20 ft long, weighs 0.9 lb/ft and hangs...
(1 point) Book Problem 9 A heavy rope, 20 ft long, weighs 0.9 lb/ft and hangs over the edge of a building 130 ft high a) How much work is done in pulling the rope to the top of the building? Work ft-lb. a) How much work is done in pulling half the rope to the top of the building? Work ft-lb. (1 point) Book Problem 15 An aquarium 10m long, 5m wide, and 9m deep is full of water....
(1 point) The tank in the form of a right-circular cone of radius 9 feet and...
(1 point) The tank in the form of a right-circular cone of radius 9 feet and height 23 feet standing on its end, vertex down, is leaking through a circular hole of radius 3 inches. Assume the friction coefficient to be c = = 0.6 and g = 32ft/s2. Then the equation governing the height h of the leaking water is dh dt If the tank is initially full, it will take it seconds to empty.
(1 point) A tank in the shape of an inverted right circular cone has height 5 meters and radius 2 meters. It is filled with 4 meters of hot chocolate. Find the work required to empty the tank by pumping the hot chocolate over the top of the tank. The density of hot chocolate is 8 = 1010 kg/m3. Your answer must include the correct units. Work =
A water tank has the shape of an inverted cone of height 9 m with a circular base of radius 3 m. If water is being pumped into the tank at 4 m/min, how fast is the water level rising when the water is 3 m deep Round your answer to two decimal places The water level is rising at a rate of Number Units
Problem 3 A water tank has the shape of an inverted circular cone with base radius Rand height H. If water is being pumped into the tank, and at certain timeo 0, (in seconds) the height of the water is given by h(t). (a) Sketch h(t) for t0. (Briefly, sketch the diagram, however, indicate the maximum height on the y axis.) (b) Is the graph concave upward or concave downward? e Suppose a bce Which do you think r he)-Ex...
A water tank has the shape of an inverted cone of height 6 m with a circular base of radius 2 m. If water is being pumped into the tank at 3 m?/min, how fast is the water level rising when the water is 4 m deep. Round your answer to two decimal places. The water level is rising at a rate of Number Units The area of a square is increasing at a rate of 28 centimeters squared per...
A water tank has the shape of an inverted circular cone with radius 2 ft and depth 8 ft. Water is leaking out of the tank at a rate of 1.5 ft/min. a. Compare the rate of change in the depth of the water when h=6 ft to the rate of change in the depth of the water when h-3 ft. Would these rates be the same or different? If different, describe how they would be different and why. Be...
(10 pts) 2. The conical tank (inverted – think of an ice cream cone) with height of 5 ft and the top base radius of 3 ft is fully filled with gasoline weighing 42 lb/ft?. How much work does it take to pump the gas to the level 2 ft above the cone's rim? (Imagine the top of the tank is 2 ft below the ground and you want to pump gas to the ground level).
(1 point) Book Problem 9 A heavy rope, 20 ft long, weighs 0.9 lb/ft and hangs over the edge of a building 130 ft high a) How much work is done in pulling the rope to the top of the building? Work ft-lb. a) How much work is done in pulling half the rope to the top of the building? Work ft-lb. (1 point) Book Problem 15 An aquarium 10m long, 5m wide, and 9m deep is full of water....
(1 point) The tank in the form of a right-circular cone of radius 9 feet and height 23 feet standing on its end, vertex down, is leaking through a circular hole of radius 3 inches. Assume the friction coefficient to be c = = 0.6 and g = 32ft/s2. Then the equation governing the height h of the leaking water is dh dt If the tank is initially full, it will take it seconds to empty.
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