Multiple choice

A sample of pine has a density of 620 kilograms per cubic meter. The sample is in the shape of a cylinder, where the base has a radius of 0.75 meters and a height of 1.5 meters. To the nearest whole number, what is the mass, in kilograms, of this sample?

  1. 620 kg

  2. 1,240 kg

  3. 1,643 kg

  4. 1,781 kg

  5. a
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C Correct answer
Explanation

Volume of cylinder = pi * r^2 * h = 3.14159 * (0.75)^2 * 1.5 = 3.14159 * 0.5625 * 1.5 = 2.6507 cubic meters. Mass = density * volume = 620 * 2.6507 = 1643.43 kg. Rounded to the nearest whole number, it is 1643 kg.

AI explanation

Using the volume of a cylinder formula, V equals pi times the radius squared times the height, the volume is pi times 0.75 squared times 1.5, which equals approximately 2.65 cubic meters. Using the density formula where mass equals density times volume, we multiply 620 by 2.65 to find the mass. This calculation yields a mass of 1643 kilograms.

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