Answered: 1. A spherical balloon is being…

1. A spherical balloon is being inflated so that its volume is increasing at a rate of 5 cubic feet per minute. At what rate is the diameter increasing when the diameter is 12 feet?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.3: Cylinders And Cones

Problem 7E: The tin can shown at the right has the indicated dimensions. Estimate the number of square inches of...

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Question

1. A spherical balloon is being inflated so that its volume is increasing at a rate of 5 cubic feet per minute. At what rate is the diameter increasing when the diameter is 12 feet?

2. Water flows into a vertical cylindrical tank at 12 cubic feet per minute; the surface rises 6 inches per minute. Find the radius of the tank.

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