Find the dimensions (radius r and height h) of the cone of maximum volume which can be inscribed in a sphere of radius 2.
Find the dimensions (radius r and height h) of the cone of maximum volume which can be inscribed in a sphere of radius 2.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4338af6b-5c46-48b5-87ab-15b35a63ea56%2F4da40ecd-d3fc-45b8-a6f1-3917cfabbfc6%2Fw7zm0ic_processed.png&w=3840&q=75)
Transcribed Image Text: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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