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QUESTION 5 A conical water tank has a radius of 5 cm at the top and 20 cm high as shown in Figure 1. Water flows into a tank at a rate of 4 cm³ /sec. 5 cm 20 cm Figure 1 47nr3 a) Show that the volume of the water is given by V = b) How fast is the radius changing at an instant when the radius of the water is 3 cm?

QUESTION 5 A conical water tank has a radius of 5 cm at the top and 20 cm high as shown in Figure 1. Water flows into a tank at a rate of 4 cm³ /sec. 5 cm 20 cm Figure 1 47nr3 a) Show that the volume of the water is given by V = b) How fast is the radius changing at an instant when the radius of the water is 3 cm?

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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QUESTION 5 A conical water tank has a radius of 5 cm at the top and 20 cm high as shown in Figure 1. Water flows into a tank at a rate of 4 cm³ /sec. 5 cm 20 cm Figure 1 4ar3 a) Show that the volume of the water is given by V = 3 b) How fast is the radius changing at an instant when the radius of the water is 3 cm?
Transcribed Image Text:QUESTION 5 A conical water tank has a radius of 5 cm at the top and 20 cm high as shown in Figure 1. Water flows into a tank at a rate of 4 cm³ /sec. 5 cm 20 cm Figure 1 4ar3 a) Show that the volume of the water is given by V = 3 b) How fast is the radius changing at an instant when the radius of the water is 3 cm?
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