Math  /  Calculus

Question2. A spherical hailstone grows in a cloud. The hailstone maintains a spherical shape while its radius increases at a rate of 0.2 mm/min:0.2 \mathrm{~mm} / \mathrm{min}: \checkmark \checkmark \checkmark \checkmark a) Express the radius, rr, in millimetres, of the hailstone, as a function of the time, tt, in minutes. b) Express the volume, VV, in cubic millimetres, of the hailstone, in terms of rr. c) Determine (Vr)(t)(V \circ r)(t) and explain what it means. d) What is the volume of the hailstone 1 hr after it begins to form?

Studdy Solution
The volume of the hailstone after 1 hour is 2304π2304\pi mm3\text{mm}^3.

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