A watermelon is assumed to be spherical in shape while it is growing. Its mass, M kg,

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A watermelon is assumed to be spherical in shape while it is growing. Its mass, M kg, and radius, r cm, are
related by the formula M = kr3, where k is a constant. It is also assumed that the radius is increasing at a
constant rate of 0.1 centimetres per day. On a particular day the radius is 10 cm and the mass is 3.2kg.
Find the value of k and the rate at which the mass is increasing on this day.

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