Math (can you provide me with the working and ans?

posted by Mark

A rectangular tank 28cm long and 18cm wide was filled with water to a dept of 7cm. When 12 marbles were added the level rose to 12cm. Find the average volume of the 12 marbles.

  1. Reiny

    The Change in volume
    = (28)(18)(5) cm^3
    = 2520 cm^3
    This was caused by the 12 marbles
    that volume was 12(4/3)πr^3
    = 16πr^3

    16πr^3 = 2520
    r^3 = 2520/(16π)
    r = (2520/(16π))^(1/3)
    I got appr 1.69 cm

    Avg volume = (4/3)π(1.69)^3
    = appr 20.22 cm^3

    check my arithmetic

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