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Multiple Choice
Given that a table tennis ball has a mass of and a diameter of , what is the average density of the ball in ? (Assume the ball is a perfect sphere.)
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Convert the mass of the table tennis ball from grams to kilograms by dividing by 1000, since 1 kg = 1000 g. So, \(m = \frac{2.7}{1000}\) kg.
Convert the diameter of the ball from millimeters to meters by dividing by 1000, since 1 m = 1000 mm. So, \(d = \frac{40}{1000}\) m.
Calculate the radius of the ball by dividing the diameter by 2: \(r = \frac{d}{2}\).
Calculate the volume of the ball assuming it is a perfect sphere using the formula for the volume of a sphere: \(V = \frac{4}{3} \pi r^{3}\).
Calculate the average density using the formula \(\rho = \frac{m}{V}\), where \(\rho\) is the density, \(m\) is the mass in kilograms, and \(V\) is the volume in cubic meters.