How much should I weigh for a model?

How much does the model weigh?

  • Suppose you have a scale model of Earth. The model is a perfect sphere. The diameter of the sphere is exactly 41 inches, and is constructed of solid steel, exactly 0.8 inches thick. Inside the sphere, there are 50 smaller steel spheres, each exactly 2 inches in diameter, and the rest of the sphere is filled up with water. If the density of steel is exactly 490 pounds per cubic foot, and the density of water is exactly 62.4 pounds per cubic foot, how much does the model weigh, in pounds? Please round to the nearest whole pound.

  • Answer:

    796.3 pounds

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