Find the expression for the volume of material required to make a hollow spherical…

MATHEMATICS · Single correct · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

Find the expression for the volume of material required to make a hollow spherical shell of outer radius RR cm and inner radius rr cm (R>r)(R>r). (a) 4π (R2−r2)4\pi\,(R^{2}-r^{2}) (b) 43π (R3+r3)\dfrac{4}{3}\pi\,(R^{3}+r^{3}) (c) 43π (R3−r3)\dfrac{4}{3}\pi\,(R^{3}-r^{3}) (d) 43π (R−r)3\dfrac{4}{3}\pi\,(R-r)^{3}

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