In the given problem shape of the object is sphere to find answer of this question need to use sphere volume formula. Question from RS Aggarwal book chapter volume and surface area of solid, page number 811, exercise 17B, problem number 29
Deepak BoraNewbie
150 spherical marbles, each of diameter 1.4 cm, are dropped in a cylindrical vessel of diameter 7 cm containing some water, which are completely immersed in water. Find the rise in the level of water in the vessel.
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given data
the radius of spherical marble, r = 1.4/2 = 0. 7 cm
the radius of the cylindrical vessel, R =7/2 cm = 3. 5 cm
the rise in the level of water in the vessel be h.
volume of 150 spheres = volume of cylindrical rise in water
[4/3] πr³ = πR²h
[4/3]*[22/7]*[0.7]³ *150 = [22/7]*[7/2]²*h
h = ( [4/3]*[22/7]*[0.7]³ *150) / ( [22/7]*[7/2]²)
h = 68.6/12.25
h = 5.591 cm
h = 5.6 cm
∴ the rise in the level of water in the vessel is 5.6 cm