Q. 24.4( 159 Votes )

Find the amount of water displaced by a solid spherical ball of diameter

(i) 28 cm

(ii) 0.21 m

Answer :

Note: when a ball is dropped in any container, the volume of water displaced is 
same as volume of sphere as now sphere has taken the place of water. 

(i)d =28 cm

As,

r = d/2
  = 28/2
Radius (r) = 14 cm

Volume of water displaced = Volume of Sphere = πr3


= ×  ×  (14)3


= ×  ×  14 × 14 × 14

= × 22 ×  2 × 14 × 14


= cm3


(ii) d = 0.21 m

As,

r = d/2

    = 0.21/2
Radius (r) = 0.105 m


Volume of water displaced =Volume of Sphere = πr3


= ×   ×  (0.105)3











= 0.004851 m3

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