Welcome to your Surface Areas and Volumes MCQs Mock Test of 10th Class Mathematics

1.
Q1.The volume of a right circular cylinder is 345 cm³. Then, the volume of a right circular cone whose radius of the base and height is the same as of circular cylinder will be:

2.
Q2. The shape of an ice-cream cone is a combination of:

3.
Q 3.The slant height of a bucket is 26 cm. The diameter of upper and lower circular ends are 36 cm and 16 cm. then height of bucket is:

4.
Q4.The volume (in cm³) of the largest right circular cone that can be cut off from a cube of edge 4.2 cm is:

5.
Q5. If a cone is cut parallel to the base of it by a plane in two parts, then the shape of the top of the cone will be a:

6.
Q 6.By melting a solid sphere of radius 5 cm a solid right circular cone of the same circular base radius is made. The height of cone is:

7.
Q7. If r is the radius of the sphere, then the surface area of the sphere is given by;

8.
Q 8. A cylinder and a cone area of same base radius and of same height. The ratio of the volume of cylinder to that of cone is:

9.
Q9. If we change the shape of an object from a sphere to a cylinder, then the volume of cylinder will

10.
Q 10.Eight solid sphere of same size are made by melting a solid metallic cylinder of base diameter 6 cm and height 32 cm. The diameter of each sphere is:

11.
Q11. Fifteen solid spheres are made by melting a solid metallic cone of base diameter 2cm and height 15cm. The radius of each sphere is:

12.
Q 12.The number of conical bottles of radius 2 cm and height 3.6 cm, required to empty the liquid from a cylindrical bottle of radius 6 cm and height 10 cm is:

13.
Q13. The radius of the top and bottom of a bucket of slant height 35 cm are 25 cm and 8 cm. The curved surface of the bucket is:

14.
Q14. If a cylinder is covered by two hemispheres shaped lid of equal shape, then the total curved surface area of the new object will be

15.
Q15. A tank is made of the shape of a cylinder with a hemispherical depression at one end. The height of the cylinder is 1.45 m and radius is 30 cm. The total surface area of the tank is:

16.
Q16. If we join two hemispheres of same radius along their bases, then we get a;

17.
Q17. A cylindrical pencil sharpened at one edge is the combination of

18.
Q18. A shuttle cock used for playing badminton has the shape of the combination of

19.
Q19. A hollow cube of internal edge 22 cm is filled with spherical marbles of diameter 0.5 cm and it is assumed that 1/8 space of the cube remains unfilled. Then the number of marbles that the cube can accommodate is

20.
Q20. A solid piece of iron in the form of a cuboid of dimensions 49 cm × 33 cm × 24 cm, is moulded to form a solid sphere. The radius of the sphere is

21.
Q21. A right circular cylinder of radius r cm and height h cm (h>2r) just encloses a sphere of diameter

22.
Q22. The diameters of the two circular ends of the bucket are 44 cm and 24 cm. The height of the bucket is 35 cm. The capacity of the bucket is

23.
Q23. Two identical solid cubes of side a are joined end to end. Then the total surface area of the resulting cuboid is

24.
Q24. A solid cylinder of radius r and height h is placed over another cylinder of same height and radius. The total surface area of the shape so formed is

25.
Q25. The number of shots each having diameter 3 cm can be made from a cuboidal lead solid of dimensions 9 cm × 11 cm × 12 cm is approximately equal to

26.
Q26. Two identical solid hemispheres of equal base radius r cm are stuck together along their bases. The total surface area of the combination is

27.
Q 27. If the surface areas of two spheres are in ratio 16 : 9, then their volumes will be in the ratio:

28.
Q 28. A cylinder, a cone and a hemisphere are of equal base and have the same height. What is the ratio of their volumes?

29.
Q 29. If the area of three adjacent faces of cuboid are X, Y and Z respectively, then the volume of cuboid is:

30.
Q 30.The volumes of two spheres are in the ratio 27 : 8. The ratio of their curved surface is:

31.
Q 31.The ratio of the volumes of two spheres is 8 : 27. If r and R are the radii of spheres respectively, then (R – r): r is:

32.
Q 32.The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. The ratio of their volumes is:

33.
Q33.If the radius of base of a right circular cylinder is halved, keeping the height same, the ratio of the volume of the reduced cylinder to that of the original cylinder is:

34.
Q 34.If the volumes of a cube is 1728 cm³, the length of its edge is equal to:

35.
Q 35.The volume (in cm³) of the largest right circular cone that can be cut off from a cube of edge 4.2 cm is: .

36.
Q36.The circumference of the edge of hemispherical bowl is 132 cm. When π is taken as 227, the capacity of bowl in cm³ is:

37.
Q37.The surface areas of two spheres are in the ratio 1 : 2. The ratio of their volume is:

38.
Q38.The radius of spherical balloon increases from 8 cm to 12 cm. The ratio of the surface areas of balloon in two cases is:

39.
Q 39.Two cubes each of volume 8 cm³ are joined end to end, then the surface area of the resulting cuboid is:

40.
Q40.A cylindrical pencil sharpened at one edge is combination of:

41.
Q41.Taking π = 227, if surface area of a sphere is 616 cm², then its diameter is:

42.
Q42.The area of the square that can be inscribed in a circle of radius 8 cm is (in cm²):

43.
Q43.The curved surface area of a right circular cone of height 15 cm and base diameter 16 cm² is:

44.
Q 44.A shuttle cock used for playing badminton has the shape of a combination of:

45.
Q45.The total surface area of a solid hemisphere of radius r is:

46.
Q46.The radius of a wire is decreased to one third. If volume remains the same, the length will become: