IMO Level 1 Mathematics Olympiad (SOF) Class 10: Questions 755  759 of 968
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Question number: 755
Question
A sphere of radius is dropped into a cylindrical vessel, partly filled with water. The radius of the vessel is If the sphere is submerged completely, then the surface of the water rises by________.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 756
Question
What is the height of cylindrical tank?
Statements

The volume of cylindrical tank

The radius of the base is
Choices
Choice (4)  Response  

a.  Only statement Ⅱ is sufficient, while others are not sufficient. 

b.  None of the statements are sufficient. 

c.  Either one of the statements is sufficient. 

d.  All of the statements are sufficient. 

Question number: 757
Question
A bucket is in the form of a frustum of a cone, its depth is and the diameters of the top and the bottom are and respectively. Find how many liters the bucket can hold.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 758
Question
Three solid metallic spheres of radii centimeters are melted to form a single solid sphere. The radius of the sphere so formed is ________.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 759
Question
Three solid metallic spheres of radii centimeters are melted to form a single solid sphere. The radius of the sphere so formed is ________.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

