Find the volume of a bowl, if it has a shape that can be generated by revolving the graph of between and about the y-axis. Find the volume of the bowl. If we fill the bowl with water at a constant rate of 3 cubic units per second, how fast will the water level in the bowl be rising when the water is 4 units deep?b) A tank of water in the shape of a cone is leaking water at a constant rate of . The base radius of the tank is 5 ft and the height of the tank is 14 ft. (i) At what rate is the depth of the water in the tank changing when the depth of the water is 6 ft? (ii) At what rate is the radius of the top of the water in the tank changing when the depth of the water is 6 ft

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 55AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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Find the volume of a bowl, if it has a shape that can be generated by revolving the graph of between and about the y-axis. Find the volume of the bowl. If we fill the bowl with water at a constant rate of 3 cubic units per second, how fast will the water level in the bowl be rising when the water is 4 units deep?b) A tank of water in the shape of a cone is leaking water at a constant rate of . The base radius of the tank is 5 ft and the height of the tank is 14 ft. (i) At what rate is the depth of the water in the tank changing when the depth of the water is 6 ft? (ii) At what rate is the radius of the top of the water in the tank changing when the depth of the water is 6 ft

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