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Water is flowing into a conical cistern at the rate of 8 m³/min. If the height of the nverted cone is 12 m and the radius of its circular opening is 6 m. How fast is the water level rising when the water is 4 m deep? A. 0.64 m/min B. 0.56 m/min C. 0.75 m/min D. 0.45 m/min

Water is flowing into a conical cistern at the rate of 8 m³/min. If the height of the nverted cone is 12 m and the radius of its circular opening is 6 m. How fast is the water level rising when the water is 4 m deep? A. 0.64 m/min B. 0.56 m/min C. 0.75 m/min D. 0.45 m/min

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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An LRT train 6 m above the ground crosses a street at 9 m/s at the instant that a car approaching at a speed of 4 m/s is 12 m up the street. Find the rate of the LRT train and the car separating one second later. A. 3.64 m/s B. 3.94 m/s C. 4.24 m/s D. 4.46 m/s Water is flowing into a conical cistern at the rate of 8 m³/min. If the height of the inverted cone is 12 m and the radius of its circular opening is 6 m. How fast is the water level rising when the water is 4 m deep? A. 0.64 m/min B. 0.56 m/min C. 0.75 m/min D. 0.45 m/min Water is pouring into a conical vessel 15 cm deep and having a radius of 3.75 cm across the top. If the rate at which the water rises is 2 cm/sec, how fast is the water flowing into the conical vessel when the water is 4 cm deep? A. 2.37 m³/sec B. 5.73 m³/sec C. 6.28 m³/sec D. 4.57 m³/sec
Transcribed Image Text:An LRT train 6 m above the ground crosses a street at 9 m/s at the instant that a car approaching at a speed of 4 m/s is 12 m up the street. Find the rate of the LRT train and the car separating one second later. A. 3.64 m/s B. 3.94 m/s C. 4.24 m/s D. 4.46 m/s Water is flowing into a conical cistern at the rate of 8 m³/min. If the height of the inverted cone is 12 m and the radius of its circular opening is 6 m. How fast is the water level rising when the water is 4 m deep? A. 0.64 m/min B. 0.56 m/min C. 0.75 m/min D. 0.45 m/min Water is pouring into a conical vessel 15 cm deep and having a radius of 3.75 cm across the top. If the rate at which the water rises is 2 cm/sec, how fast is the water flowing into the conical vessel when the water is 4 cm deep? A. 2.37 m³/sec B. 5.73 m³/sec C. 6.28 m³/sec D. 4.57 m³/sec
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