A container in the shape of a right circular cone with vertex angle a right angle is partially filled with water. a) Suppose water is added at the rate of 3 cu.cm./sec. How fast is the water level rising when the height h = 2cm.? b) Suppose instead no water is added, but water is being lost by evaporation. Show the level falls at a constant rate. (You will have to make a reasonable physical assumption about the rate of water loss state it clearly.) 6.

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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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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6.
A container in the shape of a right circular cone with vertex angle a right angle is
partially filled with water.
a) Suppose water is added at the rate of 3 cu.cm./sec. How fast is the water level
rising when the height h = 2cm.?
b) Suppose instead no water is added, but water is being lost by evaporation. Show
the level falls at a constant rate. (You will have to make a reasonable physical assumption
about the rate of water loss state it clearly.)
Transcribed Image Text:6. A container in the shape of a right circular cone with vertex angle a right angle is partially filled with water. a) Suppose water is added at the rate of 3 cu.cm./sec. How fast is the water level rising when the height h = 2cm.? b) Suppose instead no water is added, but water is being lost by evaporation. Show the level falls at a constant rate. (You will have to make a reasonable physical assumption about the rate of water loss state it clearly.)
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