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It is desired to place a volume equal to 40 m^3 in the truncated cone. It is known that the radius R = 2 meters and that the height h is 5 times the radius r. Determine the polynomial function that allows us to calculate the value of the radius r.

It is desired to place a volume equal to 40 m^3 in the truncated cone. It is known that the radius R = 2 meters and that the height h is 5 times the radius r. Determine the polynomial function that allows us to calculate the value of the radius r.

Advanced Engineering Mathematics
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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It is desired to place a volume equal to 40 m^3 in the truncated cone. It is known that the radius R = 2 meters and that the height h is 5 times the radius r. Determine the polynomial function that allows us to calculate the value of the radius r.

h R
Transcribed Image Text:h R
Expert Solution
Step 1

The given dimensions of the truncated cone are R=2 meters, r=r and h=5r.

The given volume of the truncated cone is V=40 m3.

The volume of a truncated cone is given by V=π3hR2+Rr+r2.

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