IMO Level 1 Mathematics Olympiad (SOF) Class 10: Questions 777  780 of 968
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Question number: 777
Question
What is the total surface area of the cone?
Statements
The area of the base of the cone is
The curved surface area of the cone is
The volume of the cone is
Choices
Choice (4)  Response  

a.  Either one of the statements is sufficient.  
b.  Either statement Ⅱ or statement Ⅲ is sufficient & only statement Ⅰ is sufficient, while others are not sufficient.  
c.  All of the statements are sufficient.  
d.  Both statement Ⅰ & statement Ⅲ are sufficient. 
Question number: 778
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: 779
Question
The number of solid spheres, each of diameter that could be moulded to form a solid metal cylinder of height and diameter is________.
Choices
Choice (4)  Response  

a.  4.64  
b.  3.55  
c.  6.45  
d.  5.22 
Question number: 780
» Triangle, Circle & Constructions
Question
CD subtends at the center of the semicircle. The sides SR and RT of a triangle RST meet the semicircle in C and D respectively. ST is the diameter of a semicircle. The is ________.
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 
