Maths-
General
Easy

Question

An iron sphere of diameter 12 cm is dropped into a cylindrical can of diameter 24 cm containing water. Find the rise in the level of water when the sphere is completely immersed?

hintHint:

Volume of cylinder equals pi r squared h

The correct answer is: h = 0.5cm


    Explanation:
    • We have given a iron sphere with diameter 12cm dropped into cylindrical can of diameter 24cm
    • We have to find the rise in level of water when the sphere is completely immersed
    Step 1 of 1:
    We have a iron sphere with diameter 12cm.
    Now the volume of the sphere will be
    V equals 4 over 3 pi r cubed
    equals 4 over 3 pi open parentheses 12 over 2 close parentheses cubed
    = 72π
    Now we know that the volume of sphere will be equal to volume of water displaced by it.
    So, Rise in volume of water will be = 72π
    So,
    pi r squared h equals 72 pi
    left parenthesis 12 right parenthesis squared h equals 72
    h = 0.5cm
    So, The rise in level of water when the sphere is completely immersed will be h = 0.5cm .

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