IMO Mathematics Olympiad Class 9: Questions 293  298 of 919
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Question number: 293
Question
A solid consists of a circular cylinder with an exact fitting right circular cone placed on the top. The height of a the cone is h. If the total volume of the solid is three times the volume of the cone, then the height of the cylinder is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 294
Question
The area of rhombus is and one of its diagonals is 8 cm. Its perimeter is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 295
Question
Centroid of a triangle is the point of concurrency of its ________
Choices
Choice (4)  Response  

a.  Angle 

b.  Perpendicular bisectors 

c.  Medians 

d.  Triangle 

Question number: 296
Question
216 plastic balls each of radius r are melted together to from one big sphere of radius R. then the ratio of surface area of the big sphere to that of a ball is ________
Choices
Choice (4)  Response  

a.  36 

b. 


c.  9 

d. 


Question number: 297
Question
The base and height of the triangle are in the ratio . The area of the triangle is , then height of triangle = ________
Choices
Choice (4)  Response  

a.  20 cm 

b.  22 cm 

c.  18 cm 

d.  19 cm 

Question number: 298
Question
The area of a square and a rectangle are equal. The side of square is 12 cm and the length of rectangle is 16 cm. the perimeter of the rectangle is ________
Choices
Choice (4)  Response  

a.  25 cm 

b.  50 cm 

c.  75 cm 

d.  144 cm 
