If a spherical marble of diameter 7 cm is put in a cup full of water of radius 7 cm - Maths - Surface Areas and Volumes

Question

If a spherical marble of diameter 7 cm is put in a cup full of
water of radius 7 cm and height 10 cm, then how much water flows
out of the cylindrical cup?

Manbar Singh · Accepted Answer

Dear Student,

Please find below the solution to the asked query :

We have,radius of base of cylindrical cup, r = 7 cmheight of cup, h = 10 cmVolume of cup = πr2h = 227×7×7×10 = 1540 cm3Volume of water inside the cup = 1540 cm3Now, diameter of spherical marble, d = 7 cmNow, radius of marble, r1 = d2 = 3
5 cmVolume of marble = 43πr13 = 43×227×72×72×72 = 5393 cm3When the marble is dropped into the cup full of water, thenvolume of water that flows out = volume of the marble = 5393 cm3 = 179
67 cm3

Hope this would clear your doubt

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If a spherical marble of diameter 7 cm is put in a cup full of water of radius 7 cm and height 10 cm, then how much water flows out of the cylindrical cup?