Water is being pumped into an inverted (point down) conical tank at a constant rate. The tank has height 20 m and the diameter at the top is 6 m. If the water level is rising at a rate of 40 cm/min when the height is 15 m, find the rate at which the rate at which water is being pumped into the tank. Let A be the height of the water surface and let r be the radius of the water surface. You may find the formula for the volume of a cone and the similar triangles relation helpful. Also recall that 1 m= 100 cm. Use %pi form. Rate at which water is being pumped in: h cm/min V-Ph 3 height of tank radius of top of tank 2
Water is being pumped into an inverted (point down) conical tank at a constant rate. The tank has height 20 m and the diameter at the top is 6 m. If the water level is rising at a rate of 40 cm/min when the height is 15 m, find the rate at which the rate at which water is being pumped into the tank. Let A be the height of the water surface and let r be the radius of the water surface. You may find the formula for the volume of a cone and the similar triangles relation helpful. Also recall that 1 m= 100 cm. Use %pi form. Rate at which water is being pumped in: h cm/min V-Ph 3 height of tank radius of top of tank 2
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:Water is being pumped into an inverted (point down) conical tank at a constant rate. The tank has height 20 m and the diameter at the top is 6 m. If the water
level is rising at a rate of 40 cm/min when the height is 15 m, find the rate at which the rate at which water is being pumped into the tank.
Let A be the height of the water surface and let r be the radius of the water surface. You may find the formula for the volume of a cone
V-h
and the similar triangles relation
helpful. Also recall that 1 m = 100 cm. Use Xpi for .
Rate at which water is being pumped in:
h
T
meters squared per second
cm/min
height of tank
radius of top of tank
K
In calm waters, the oil spilling from the ruptured hull of a grounded tanker spreads in all directions. Assuming that the polluted area is circular, determine how
fast the area is increasing when the radius of the circle is 11 meters and is increasing at the rate of 0.2 meters/second. Give your answer to exactly one decimal
point.
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