A cylindrical tank that is 30 feet high with a radius of 5 feet is filled with water. At time t = 0, water is pumped out of the spigot at a rate of r(t) = (130 – 5t) feet/minute. a. How long will the water continue to be pumped at this rate? %3D b. Using the time calculated in part a. above, determine the total volume of water pumped and the depth of the water in the container when pumping is complete.
A cylindrical tank that is 30 feet high with a radius of 5 feet is filled with water. At time t = 0, water is pumped out of the spigot at a rate of r(t) = (130 – 5t) feet/minute. a. How long will the water continue to be pumped at this rate? %3D b. Using the time calculated in part a. above, determine the total volume of water pumped and the depth of the water in the container when pumping is complete.
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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Transcribed Image Text:6. A cylindrical tank that is 30 feet high with a radius of 5 feet is filled with water.
At time t = 0, water is pumped out of the spigot at a rate of r(t) = (130 – 5t) feet/minute.
a. How long will the water continue to be pumped at this rate?
b. Using the time calculated in part a. above, determine the total volume of water
pumped and the depth of the water in the container when pumping is complete.
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