Painting the entire exterior surface of a cube with edge length S = 1.26 meters reduces paint level by 2 inches in a cylindrical paint can with radius R = 3.24 inches. Assuming the paint is put on with a uniform thickness, calculate this thickness in inches." Hmm... I don't think the paint can height is necessary... at least, it wasn't given in the problem. I started out by calculating the volume of the 2 inches removed from the can, and, knowing that the volume would stay the same, tried to figure out how to put the volume onto the surface of the cube. That's where I got stuck. Any ideas? Thank you!

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 7OQ: One student uses a meterstick to measure the thickness of a textbook and obtains 4.3 cm 0.1 cm....
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"Painting the entire exterior surface of a cube with edge length S = 1.26 meters reduces paint level by 2 inches in a cylindrical paint can with radius R = 3.24 inches. Assuming the paint is put on with a uniform thickness, calculate this thickness in inches."

Hmm... I don't think the paint can height is necessary... at least, it wasn't given in the problem. I started out by calculating the volume of the 2 inches removed from the can, and, knowing that the volume would stay the same, tried to figure out how to put the volume onto the surface of the cube. That's where I got stuck. Any ideas? Thank you!

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