An average hailstone is a sphere of radius 0.3 centimeter. Severe thunderstorms can

Chapter 11, Problem 11.1.48

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An average hailstone is a sphere of radius 0.3 centimeter. Severe thunderstorms can produce hailstones of radius 0.95 centimeter. The largest hailstone found in the US had radius 7.05 centimeters. Table 11.7 gives the masses of these hailstones in grams.10 (a) Using the data given, check that mass, m, is proportional to the cube of the radius, r. (b) Find the constant of proportionality and write m as a function of r. (c) The largest recorded hailstone was found in India in 1939 and weighed 3.4 kilograms. What was its radius? (d) Calculate the density of ice in grams per cubic centimeter. [Hint: Density is mass per unit volume.]

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