Sand is pouring out of a container at a rate of 20 cm3/s and is forming a canonical pile on the ground as shown in Figure 1. The height of the canonical pile is 40 cm and its radius is 16 cm. Assume that the sand spreads evenly to maintain a canonical shape. Determine the rate of change of radius of the canonical pile when the radius is at 8 cm?2cone13V r h =
Sand is pouring out of a container at a rate of 20 cm3/s and is forming a canonical pile on the ground as shown in Figure 1. The height of the canonical pile is 40 cm and its radius is 16 cm. Assume that the sand spreads evenly to maintain a canonical shape. Determine the rate of change of radius of the canonical pile when the radius is at 8 cm?2cone13V r h =
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
Sand is pouring out of a container at a rate of 20 cm3/s and is forming a canonical pile on the
ground as shown in Figure 1. The height of the canonical pile is 40 cm and its radius is 16 cm.
Assume that the sand spreads evenly to maintain a canonical shape. Determine the rate of
change of radius of the canonical pile when the radius is at 8 cm?
2
cone
1
3
V r h
=
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