Multiple choice

A cylindrical storage jar has a base area of 90 square centimeters and a height of 12 centimeters. The jar contains layers of dry grains. When water is poured in, it takes 180 cubic centimeters of water to fill the jar to the top. Which of the following is closest to the total volume of the grains in the jar, in cubic centimeters?

  1. 90

  2. 270

  3. 900

  4. 1,080
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total volume of jar = Base Area * Height = 90 * 12 = 1080 cubic cm. Volume of grains = Total Volume - Volume of water = 1080 - 180 = 900 cubic cm.

AI explanation

The total volume of the jar is found by multiplying the base area by the height, giving 90 times 12 which equals 1080 cubic cm. The grains occupy the space not taken by the water, so their volume is the total volume minus the water volume. Subtracting 180 from 1080 leaves 900 cubic cm of grains.

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