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.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 22A: Solve these exercises. Where necessary, round the answers to 2 decimal places unless otherwise...
Question
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.
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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