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The volume of a sphere with radius r is \(\dfrac{4}{3}\pi r^3.\) A solid sphere of radius r that is made of a certain...

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The volume of a sphere with radius r is \(\dfrac{4}{3}\pi r^3.\) A solid sphere of radius r that is made of a certain material weighs \(40\) pounds. The figure above shows half of a spherical shell made of the same material. What is the weight, in pounds, of the entire spherical shell if the outer radius is \(5r\) and the inner radius is \(2r?\)

A. 120
B. 360
C. 840
D. 1,080
E. 4,680

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Source: — Problem Solving |