1. Find the dimensions (radius r and height h) of the cone of maximum volume whichcan be inscribed in a sphere of radius 2.2. A tank of water in the shape of a cone is leaking water at a constant rate of 2ft°/hour.The base radius of the tank is 5 ft and the height of the tank is 14 ft. At what rate isthe depth of the water in the tank changing when the depth of the water is 6 ft? Andat what rate is the radius of the top of the water in the tank changing when the depthof the water is 6 ft?

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Find the dimensions (radius r and height h) of the cone of maximum volume which can be inscribed in a sphere of radius 2.

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter16: Table Of Decimal Equivalents And Combined Operations Of Decimal Fractions

Section: Chapter Questions

Problem 34A: A stamped sheet steel plate is shown in Figure 164. Compute dimensions AF to 3 decimal places. All...

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Question

1. Find the dimensions (radius r and height h) of the cone of maximum volume which
can be inscribed in a sphere of radius 2.
2. A tank of water in the shape of a cone is leaking water at a constant rate of 2ft°/hour.
The base radius of the tank is 5 ft and the height of the tank is 14 ft. At what rate is
the depth of the water in the tank changing when the depth of the water is 6 ft? And
at what rate is the radius of the top of the water in the tank changing when the depth
of the water is 6 ft?

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