The density of water is 1 gram per cubic centimeter. A more dense object will sink, and a less dense object will float. Will a marble with a radius of 1.4 cm and a mass of 9 grams sink or float in water?

Question

Mathematics

Genesis Schmitt

25 April, 19:48

The density of water is 1 gram per cubic centimeter. A more dense object will sink, and a less dense object will float. Will a marble with a radius of 1.4 cm and a mass of 9 grams sink or float in water?

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Answers (1)

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Neil Pace · Answer 1

Ah clever. So you need two formulas.

1) Volume of the marble.

4 (pi) r^3/3

= 4 (pi) (1.4) ^3/3

= 11.49 (approx)

2) Formula for density.

D = M / V

= 9 / 11.49

= 0.78

0.78 < 1

Therefore the marble will float.