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(1 point) The tank in the form of a right-circular cone of radius 9 feet and...
Previous Problem List Next (1 point) The tank in the form of a right-circular cone of radius 4 feet and height 29 feet standing on its end, vertex down, is leaking through a circular hole of radius 2 inches. Assume the friction coefficient to be c = 0.6 and g=32ft/. Then the equation governing the height h of the leaking water dh - seconds to If the tank is initially full, it will take it empty.
to empty if c 0.6? See Problem 13 in Exercises 1.3. 13. Leaking Conical Tank A tank in the form of a right-circular cone standing on end, vertex down, is leaking water through a circular hole in its bottom. 16. H 75 (a) Suppose the tank is 6 m high and has radius 3 m and an the circular hole has radius 5 cm. In Problem 14 in Exercises 1.3 you were asked to derive the differential equation governing the...
(1 point) The radius of a right circular cone is increasing at a rate of 5 inches per second and its height is decreasing at a rate of 5 inches per second. At what rate is the volume of the cone changing when the radius is 10 inches and the height is 50 inches? cubic inches per second
(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 =
i dont understand this question :/ Name: Math 185 Exam 1 Spring 19 10. A tank has the shape of an inverted right circular cone with a base radius of 3 m and a height of 10 m. If the tank is Date: filled to a height of 6 m, find the work required to empty the tank by pumping the water over the top of the tank. (The mass of water is 1000 kg/m3 and the force of gravity...
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.
Suppose that a tank containing a certain liquid has an outlet near the bottom. Let h(t) denote the height of the liquid's surface above the outlet. Torricelli's principle states that the outflow velocity v at the outlet is equal to the velocity of a particle falling freely (with no drag) from the height h (a) Show that v2gh, where g is the acceleration due to gravity. (b) By equating the rate of outflow to the rate of change of liquid...
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...
Pumping a conical tank A right- circular conical tank, point down, with top radius 5 ft and height 10 ft is filled with a liquid whose weight-density is 60 lb/ft^ 3 . How much work does it take to pump the liquid to a point 2 ft above the tank? If the pump is driven by a motor rated at 275 ft-lb/sec (1/2 hp), , how long will it take to empty the tank? Must work the integral out by...