Consider a spherical tumour of inner radius r and outer radius R where 0 < r < R. The tumour has two types of cancer cells in it, central cells and peripheral cells. The central cells form the inner sphere of radius r and the peripheral cells surround them. Suppose central cells have density A g/cm³ and peripheral cells have density B g/cm³. Give a formula for m the mass of such a spherical tumour.

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Consider a spherical tumour of inner radius r and outer radius R where 0 < r < R. The tumour has two types of cancer cells in it,
central cells and peripheral cells. The central cells form the inner sphere of radius r and the peripheral cells surround them. Suppose
central cells have density A g/cm³ and peripheral cells have density B g/cm³. Give a formula for m the mass of such a spherical
tumour.
Transcribed Image Text:Consider a spherical tumour of inner radius r and outer radius R where 0 < r < R. The tumour has two types of cancer cells in it, central cells and peripheral cells. The central cells form the inner sphere of radius r and the peripheral cells surround them. Suppose central cells have density A g/cm³ and peripheral cells have density B g/cm³. Give a formula for m the mass of such a spherical tumour.
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