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Conversion of Solids – MCQ

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1. There will be total 20 MCQ in this test.
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1. A solid iron rectangular block of dimensions 4.4 m, 2.6 m and 1 m is melted and cast into a hollow cylindrical pipe of internal radius 30 cm and thickness 5 cm. The length of the pipe will be

Question 1 of 20

2. A hemisphere of lead of radius 9 cm is cast into a right circular cone of height 72 cm. The radius of the base of cone is

Question 2 of 20

3. An iron ball of radius 10.5 cm is melted and recast into small cones, each of radius 3.5 cm and height 3 cm. The number of cones is

Question 3 of 20

4. The diameter of a sphere is 6 cm. It is melted and drawn into a wire of diameter 2 cm. The length of the wire is

Question 4 of 20

5. How many balls, each of radius 1 cm, can be made from a solid sphere of lead of radius 8 cm

Question 5 of 20

6. How many coins 1.75 cm in diameter & 2 mm thick must be melted to form a cuboid 11 cm x 10 cm x 7 cm?

Question 6 of 20

7. The largest sphere is curved out of a cube of a side 7 cm. Find the volume of the sphere.

Question 7 of 20

8. How many coins 1.75 cm in diameter & 2 mm thick must be melted to form a cuboid 11 cm x 10 cm x 7 cm?

Question 8 of 20

9. A hemispherical bowl of internal diameter 30 cm contains a liquid. The liquid is to be filled in cylindrical bottles of diameter 5 cm and height 6 cm. The number of bottles required to empty the bowl are

Question 9 of 20

10. A circular cylinder shaped container having diameter 24 cm and height 10 cm is full of ice-cream. The ice-cream is to be filled into cones of height 8 cm and diameter 4 cm, having a hemispherical shape on the top. The number of such cones which can be filled with ice-cream is

Question 10 of 20

11. A spherical shell of lead, whose external diameter is 18 cm, is melted and recast into a right circular cylinder, whose height is 8 cm and diameter 12 cm. The internal diameter of the shell is:

Question 11 of 20

12. The diameter of a copper sphere is 6 cm. The sphere is melted and recast into a wire. If the length of the wire is 36 cm, its radius is

Question 12 of 20

13. The number of lead balls each of radius1 cm, that can be formed from a sphere of radius 8 cm will be

Question 13 of 20

14. The largest possible sphere is carved out from a cube of 7 cm side. The volume of the sphere will be

Question 14 of 20

15. The material of a cone is converted into the shape of a cylinder of equal radius. If the height of the cylinder is 5 cm, then the height of the cone is

Question 15 of 20

16. If a solid right circular cone of height 24 cm and base radius 6 cm is melted and recast in the shape of a sphere, then the radius of the sphere is

Question 16 of 20

17. How many balls, each of radius 1 cm, can be made from a solid sphere of lead of radius 8 cm.

Question 17 of 20

18. A sphere of diameter 12 cm is dropped into a right circular cylindrical vessel partly filled with water. If the sphere is completely submerged in water, the water level in the cylindrical vessel rises by 2 cm, the radius of the cylindrical vessel will be

Question 18 of 20

19. A solid consists of a circular cylinder with an exact fitting circular cone placed at the top. The height of the cone is h. If the total volume of the solid is 3 times the volume of the cone, then the height of the circular cylinder is

Question 19 of 20

20. 2 cubes of volume 64 cm3 are joined end to end. Find the surface area of resulting cuboid.

Question 20 of 20

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