IMO Mathematics Olympiad (SOF) Class 9: Questions 292  297 of 919
Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 919 questions. Access all new questions we will add tracking exampattern and syllabus changes. View Sample Explanation or View Features.
Rs. 450.00 or
Question number: 292
Question
The radii of two cones are in ration 3: 1, their volumes are equal. Find the ratio of their heights.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


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 
