water pours into a conical tank at a constant rate of 10 ft3 per minute the tank is ten feet tal

Name: water pours into a conical tank at a constant rate of 10 ft3 per minute the tank is ten feet tall and at its widest has a radius of 4 feet how fast is the water level rising when it is 5 fee 98805
Uploaded: 2022-02-07T13:05:38-08:00
Duration: 4 min 30 s
Channel: Sutara K
Description: water pours into a conical tank at a constant rate of 10 ft3 per minute the tank is ten feet tall and at its widest has a radius of 4 feet how fast is the water level rising when it is 5 fee 98805

Question

Eleni Katirtzoglou · Accepted Answer

Step 1: Given that the volume of the conical tank is ( V = frac{1}{3} pi r^2 h ), where ( r = 4

Question

Water pours into a conical tank at a constant rate of 10 ft³ per minute. The tank is ten feet tall and, at its widest, has a radius of 4 feet. How fast is the water level rising when it is 5 feet high (answer in ft/min and round to three decimal places)?

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