Surface Area and Volumes (IMO Mathematics Olympiad Class 9): Questions 52  56 of 104
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Question number: 52
» Surface Area and Volumes
Question
The altitude drawn to the base of an isosceles triangle is of length 8 cm and the perimeter is 32 cm. the area of the triangle is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 53
» Surface Area and Volumes
Question
A spherical ball of lead, 3 cm in diameter is melted and recast into three spherical balls. The diameter of two of these is 1.5 cm and 2 cm respectively. The radius of the third ball is________.
Choices
Choice (4)  Response  

a.  3 cm 

b.  2.5 cm 

c.  3.5 cm 

d.  2.66 cm 

Question number: 54
» Surface Area and Volumes
Question
ABC is triangle in which BE, CF are medians. If , and , then the area of is________
Choices
Choice (4)  Response  

a.  240 

b.  120 

c.  102 

d.  360 

Question number: 55
» Surface Area and Volumes
Question
The area of a quadrilateral JKLM, in which , is an equilateral triangles of side 20 cm and is________.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 56
» Surface Area and Volumes
Question
A wooden article was made by scooping out a hemisphere from each end of a solid cylinder. If the height of the cylinder is 20 cm, and its base is of radius 7.5 cm, find the total surface area of the article.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

