Related Rates Examples
Example 1
Air is being pumped into a spherical balloon at a rate of 5 cm
3
/min.
Determine the rate at which the radius of the balloon is increasing when the diameter of
the balloon is 20 cm.
Example 2
A 15 foot ladder is resting against the wall. The bottom is initially 10 feet
away from the wall and is being pushed towards the wall at a rate of
1
4
ft/sec. How fast
is the top of the ladder moving up the wall 12 seconds after we start pushing?
Example 3
A tank of water in the shape of a cone is leaking water at a constant rate of
2
ft
hour
. The base radius of the tank is 5 ft and the height of the tank is 14 ft.
(a)
At what rate is the depth of the water in the tank changing when the depth
of the water is 6 ft?
(b)
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This note was uploaded on 07/14/2011 for the course MAC 3472 taught by Professor Jury during the Spring '07 term at University of Florida.
 Spring '07
 JURY
 Calculus

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