NCO Cyber Olympiad (SOF) Class 10: Questions 1 of 461
» Mental Ability » Basic Geometry
MCQ▾
Question
The Volume of a solid metallic sphere is 2512 . It is melted and recast into solid right circular cones of radius 5 cm and height 16 cm. Calculate the number of cones recast.
Choices
Choice (4)  Response  

a. 
9 

b. 
6 

c. 
8 

d. 
7 
Answer
b.
Explanation
As given, the volume of a solid metallic sphere is 2512 .
Then it is melted and recast into solid right circular cones of radius 5 cm and height 16 cm.
Now, as we know, the formula of Volume of a right circular cone is: , where, r = radius and h = height.

Therefore, volume of a right circular cone is:

Hence, the number of cones recast are:
cones