Water is leaking out of an inverted conical tank at a rate of 6700 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 10 meters and the diameter at the top is 3.5 meters. If the water level is rising at a rate of 23 centimeters per minute when the height of the water is 3.5 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute. cm3 min

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...
Question
Water is leaking out of an inverted conical tank at a rate of 6700 cubic centimeters
per min at the same time that water is being pumped into the tank at a constant
rate. The tank has height 10 meters and the diameter at the top is 3.5 meters. If the
water level is rising at a rate of 23 centimeters per minute when the height of the
water is 3.5 meters, find the rate at which water is being pumped into the tank in
cubic centimeters per minute.
cm3
min
Transcribed Image Text:Water is leaking out of an inverted conical tank at a rate of 6700 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 10 meters and the diameter at the top is 3.5 meters. If the water level is rising at a rate of 23 centimeters per minute when the height of the water is 3.5 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute. cm3 min
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