Surface Area and Volumes (IMO Mathematics Olympiad (SOF) Class 9): Questions 76  81 of 104
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Question number: 76
» Surface Area and Volumes
Question
A spherical ball of lead, 9 cm in diameter is melted and recast into four spherical balls. The diameter of three of these are 3 cm, 2 cm, 2.5 cm is respectively. The radius of the fourth ball is________.
Choices
Choice (4)  Response  

a.  8.79 cm 

b.  6.79 cm 

c.  7.79cm 

d.  5.79 cm 

Question number: 77
» Surface Area and Volumes
Question
A cylindrical rod whose height is 12 times of its radius is melted and recast into spherical balls of same radius. The numbers of balls will be________
Choices
Choice (4)  Response  

a.  9 

b.  2 

c.  7 

d.  6 

Question number: 78
» Surface Area and Volumes
Question
How many metres of cloth, 4 m wide, will be required to make a conical tent, the radius of whose base is 14 m and height is 12 m?
Choices
Choice (4)  Response  

a.  104.07 m 

b.  115.05 m 

c.  105.06 m 

d.  106.06 m 

Question number: 79
» Surface Area and Volumes
Question
The area of an isosceles triangle having base x cm and one side y cm is________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 80
» Surface Area and Volumes
Question
If the height of cone is thrice, then its volume is increased by________.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 81
» Surface Area and Volumes
Question
The altitude drawn to the base of an isosceles triangle is of length 6 cm and the perimeter is 72 cm. the area of the triangle is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

