MEDIUM
10th Manipur Board
IMPORTANT
Earn 100

A sphere has the same surface area as the curved surface of a cone of height 16 cm and base radius 12 cm. Find the radius of the sphere.
 

Important Questions on Mensuration

HARD
10th Manipur Board
IMPORTANT
Mathematics for Class 10>Chapter 12 - Mensuration>EXERCISE 12.5>Q 3
A solid metallic cone is 81 cm high and radius of its base is 6 cm. If it is melted and recast into a solid sphere, find the curved surface area of the sphere. 
MEDIUM
10th Manipur Board
IMPORTANT
Mathematics for Class 10>Chapter 12 - Mensuration>EXERCISE 12.5>Q 4
A solid metallic sphere of diameter 28 cm is melted and recast into a number of cones, each of diameter 7 cm and height 4 cm. Find the number of cones so formed. 
HARD
10th Manipur Board
IMPORTANT
Mathematics for Class 10>Chapter 12 - Mensuration>EXERCISE 12.5>Q 5
The internal and external radii of a hollow metallic sphere are 3 cm and 5 cm respectively. If the sphere is melted and recast into a solid cylinder of height 223 cm, find the curved surface area of the cylinder. 
HARD
10th Manipur Board
IMPORTANT
Mathematics for Class 10>Chapter 12 - Mensuration>EXERCISE 12.5>Q 6
A metallic cone of height 28 cm and radius of 12 cm, is melted and recast into a cylinder of height 913 cm. Find the curved surface area of the cylinder so formed.
HARD
10th Manipur Board
IMPORTANT
Mathematics for Class 10>Chapter 12 - Mensuration>EXERCISE 12.5>Q 7
20 circular plates, each of radius 7 cm and thickness 1.5 cm are placed one above another to form a solid cylinder. Find the curved surface area and the volume of the cylinder so formed. 
 
HARD
10th Manipur Board
IMPORTANT
Mathematics for Class 10>Chapter 12 - Mensuration>EXERCISE 12.5>Q 8
Find the volume of the largest sphere that can be carved out of a cube of side 4.2 cm. Also find the ratio of the volume of the cube to that of the sphere. 
 
MEDIUM
10th Manipur Board
IMPORTANT
Mathematics for Class 10>Chapter 12 - Mensuration>EXERCISE 12.5>Q 9
Find the volume of the largest cone that can be carved out of a cube of side 16.8 cm.
HARD
10th Manipur Board
IMPORTANT
Mathematics for Class 10>Chapter 12 - Mensuration>EXERCISE 12.5>Q 10
    A solid cone of diameter 14 cm and height 8 cm is melted and recast into a hollow sphere. If the external diameter is 10 cm, find the internal diameter of the sphere.