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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 74E
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