Maths-
General
Easy

Question

When a solid metal cube is completely submerged in a cylindrical vessel Containing milk with 30 cm diameter the level of milk rises by 1 41 over 99 cm. Find the length of the edge of the metal cube.

hintHint:

We use principle of Archimedes to find the length of the cube.

The correct answer is: The length of the edge of the cube is 10cm.


    Explanations:
    Step 1 of 1:
    Let the length of the edge of the metal cube be a.
    Volume of cube = a3
    Given,  r = 30/2 cm and h = 1 41 over 99 cm
    By the principle of Archimedes,
    Volume of risen milk = volume of cube
    not stretchy rightwards double arrow pi open parentheses 30 over 2 close parentheses squared cross times 1 41 over 99 equals a cubed
    not stretchy rightwards double arrow a cubed equals 1000
    not stretchy rightwards double arrow a equals 10, discarding the negative value since distance cannot be negative.
    Final Answer:
    The length of the edge of the cube is 10cm.

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