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...

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

The OA is

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