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?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Trigonometric Functions: Right Triangle Approach
Section5.1: Angle Measure
Problem 87E: Which A winch of radius 2 ft is used to lift heavy loads. If the winch makes 8 revolutions every 15...
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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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