Surface Area and Volumes (IMO Mathematics Olympiad Class 9): Questions 15  20 of 104
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Question number: 15
» Surface Area and Volumes
Question
The area of an isosceles triangle having base 32 cm and one side 20 cm is________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 16
» Surface Area and Volumes
Question
A circular park of 20 metre diameter has a circular path just inside the boundary of width 1 metre. The area of path is ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 17
» Surface Area and Volumes
Question
A covered wooden box has the inner measures as 115 cm, 75 cm, 35 cm and the thickness of wood is 2.5 cm. Then the volume of the wood is________
Choices
Choice (4)  Response  

a.  80, 000 cu. Cm  
b.  82, 125 cu. Cm  
c.  85, 000 cu. Cm  
d.  84, 000 cu. Cm 
Question number: 18
» Surface Area and Volumes
Question
A cylindrical vessel 80 cm in diameter is partially filled with water. A sphere, 80 cm in diameter is gently dropped into the vessel. To what further height will water rise in the cylinder?
Choices
Choice (4)  Response  

a.  30.33 cm  
b.  53.33 cm  
c.  15.33 cm  
d.  40.33 cm 
Question number: 19
» Surface Area and Volumes
Question
A spherical ball of lead, 5 cm in diameter is melted and recast into two spherical balls. The diameter of one of these is 4 cm. The radius of the second ball is________
Choices
Choice (4)  Response  

a.  2.51 cm  
b.  3.51 cm  
c.  2.26 cm  
d.  3.94 cm 
Question number: 20
» Surface Area and Volumes
Question
A cone and a hemisphere have the same height and same radius of the base. The ratio between the volumes of the cone and the hemisphere is ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 
