(a)
To find : How fast the water level falling when the water is
(a)
Answer to Problem 17E
The answer: decreasing at
Explanation of Solution
Given information:
Water is falling at the rate of
Base radius
Calculation:
The cone's half from the side.
Using the measurements of the cone, determine the relationship between the height (the depth of the water level) and the radius
Change in volume rate (negative since it is declining):
Substitute for
Differentiate with respect to time
Negative rate meaning it is decreasing.
Therefore the required decreasing at
(b)
To find: How fast the radius of the water’s surface changing at the moment.
(b)
Answer to Problem 17E
The answer: decreasing at
Explanation of Solution
Given information:
Water is falling at the rate of
Base radius
Calculation:
From part
Differentiate this to,
Then plug in the result from part
Negative rate meaning it is decreasing.
Therefore the required decreasing at
Chapter 4 Solutions
CALCULUS-W/XL ACCESS
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