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Find the mass M of an object in the shape of a right circular cylinder of height 2 and radius 6 if its mass density is proportional to the square of the distance from the axis of the cylinder. (Give an exact answer. Use symbolic notation and fractions where needed. Use k as a constant of proportionality.)

Find the mass M of an object in the shape of a right circular cylinder of height 2 and radius 6 if its mass density is proportional to the square of the distance from the axis of the cylinder. (Give an exact answer. Use symbolic notation and fractions where needed. Use k as a constant of proportionality.)

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter14: Powers
Section: Chapter Questions
Problem 47A: In the following table, the radii and heights of cylinders are given. Determine the volumes of the...
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Find the mass M of an object in the shape of a right circular cylinder of height 2 and radius 6 if its mass density is proportional to the square of the distance from the axis of the cylinder. (Give an exact answer. Use symbolic notation and fractions where needed. Use k as a constant of proportionality.) M =
Transcribed Image Text:Find the mass M of an object in the shape of a right circular cylinder of height 2 and radius 6 if its mass density is proportional to the square of the distance from the axis of the cylinder. (Give an exact answer. Use symbolic notation and fractions where needed. Use k as a constant of proportionality.) M =
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