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A solid sphere of radius R has a concwntric circle of radius R/2 inside it. The sphere is found to just float in water with the highest point of it touching the wtarer surface . The specific gravity of the material of the sphere is______

A solid sphere of radius R has a concwntric circle of radius R/2 inside it. The sphere is found to just float in water with the highest point of it touching the wtarer surface . The specific gravity of the material of the sphere is______

Grade:11

1 Answers

Arun
25750 Points
3 years ago
Upward trust of the water to the solid sphere= 
3
4
​ 
 πR 
3
 ×1×g
Now, for equilibrium, upward trust = weight of the solid
3
4
​ 
 π(R 
3
 − 
8
3
 
​ 
 )d×g= 
3
4
​ 
 πR 
3
 g
solid
​ 
 = 
(1− 
8
1
​ 
 )
1
​ 
 = 
7
8
​ 
 
∴ specific gravity of the material= 
vater
​ 
 
solid
​ 
 
​ 
 = 
7
8
​ 
 

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