2. Water is being poured into a conical reservoir at the rate of pi cubic feet per second. The reservoir has a radius of 6 feet across the top and a height of 12 feet. At what rate is the depth of the water increasing when the depth is 6 feet? http://www2.scc-fl.edu/lvosbury/calculusI_folder/RelatedRateProblems.htm
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Example 1 (Right Triangle)
1. An 8 foot long ladder is leaning against a wall. The top of the ladder is sliding down the wall at the rate of 2 feet per second. How fast is the bottom of the ladder moving along the ground at the point in time when the bottom of the ladder is 4 feet from the wall? http://www2.scc-fl.edu/lvosbury/calculusI_folder/RelatedRateProblems.htmClick here for an animation
Example 2(Conical Cone)
2. Water is being poured into a conical reservoir at the rate of pi cubic feet per second. The reservoir has a radius of 6 feet across the top and a height of 12 feet. At what rate is the depth of the water increasing when the depth is 6 feet?
http://www2.scc-fl.edu/lvosbury/calculusI_folder/RelatedRateProblems.htm
Click here for an animation
Example 3 (Change in Angle)
3. A fish is reeled in at a rate of 1 foot per second from a point 10 feet above the water. At what rate is the angle between the line and the water changing when there is a total of 25 feet of line out?
http://www2.scc-fl.edu/lvosbury/calculusI_folder/RelatedRateProblems.htm
Click here for an animationTable of Contents