A trough is 2 meters long and a cross-section has the shape of an isosceles trapezoid that is 20 cm wide at the bottom, 50 cm wide at the top, and has a height of 30 cm. If the trough is being filled with water at the rate of 0.1 m^3/min, how fast is the water level rising when the water is 18 cm deep? Express your answer in cm/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...
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A trough is 2 meters long and a
cross-section has the shape of
an isosceles trapezoid that is 20
cm wide at the bottom, 50 cm
wide at the top, and has a height
of 30 cm. If the trough is being
filled with water at the rate of 0.1
m^3/min, how fast is the water
level rising when the water is 18
cm deep? Express your answer
in cm/min.
Transcribed Image Text:A trough is 2 meters long and a cross-section has the shape of an isosceles trapezoid that is 20 cm wide at the bottom, 50 cm wide at the top, and has a height of 30 cm. If the trough is being filled with water at the rate of 0.1 m^3/min, how fast is the water level rising when the water is 18 cm deep? Express your answer in cm/min.
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