/20 1234567891011121314151617181920 Test Code: MC12L3 1 / 20 1. In a right circular cone, the cross-section made by a plane parallel to the base is a A) Hemisphere B) frustum of a cone C) Circle D) Sphere 📝 Solution: (b) We know that, if a cone is cut by a plane parallel to the base of the cone, then the portion between the plane and base is called the frustum of the cone. 2 / 20 2. If a solid piece of iron in the form of a cuboid of dimensions 49 cm x 33 cm x 24 cm, is moulded to form a solid sphere. Then, radius of the sphere is A) 21 cm B) 23 c C) 25 cm D) 19 cm 📝 Solution: 3 / 20 3. The shape of a gilli, in the gilli-danda game (see figure) is a combination of A) two cones and a cylinder B) a cone and a cylinder C) two cylinders D) two cylinders and a cone 📝 Solution: 4 / 20 4. A plumbline (sahul) is the combination of (see figure) A) sphere and cylinder B) a hemisphere and a cone C) frustum of a cone and a cylinder D) a cone and a cylinder 📝 Solution: 5 / 20 5. If volumes of two spheres are in the ratio 64 : 27, then the ratio of their surface areas is A) 3 : 4 B) 16 : 9 C) 9 : 16 D) 4 : 3 📝 Solution: 6 / 20 6. The shape of a glass (tumbler) (see figure) is usually in the form of A) a cone B) frustum of a cone C) a cylinder D) a sphere 📝 Solution: 7 / 20 7. A surahi is the combination of A) a sphere and a cylinder B) a cylinder and a cone C) a hemisphere and a cylinder D) two hemispheres 📝 Solution: 8 / 20 8. The radii of the top and bottom of a bucket of slant height 45 cm are 28 cm and 7 cm, respectively. The curved surface area of the bucket is A) 4950 cm B) 4953 cm C) 4955 cm D) 4959 cm 📝 Solution: 9 / 20 9. During conversion of a solid from one shape to another, the volume of the new shape will A) be double B) increase C) Decrease D) remain unaltered 📝 Solution: (c) During conversion of a solid from one shape to another, the volume of the new shape will remain unaltered. 10 / 20 10. Twelve solid spheres of the same size are made by melting a solid metallic cylinder of base diameter 2 cm and height 16 cm. The diameter of each sphere is A) 4 cm B) 6 cm C) 3 cm D) 2 cm 📝 Solution: 11 / 20 11. A cylindrical pencil sharpened at one edge is the combination of A) a hemisphere and a cylinder B) frustum of a cone and a cylinder ‘ C) two cylinders D) a cone and a cylinder 📝 Solution: 12 / 20 12. A shuttle cock used for playing badminton has the shape of the combination of A) frustum of a cone and a hemisphere B) a cylinder and a sphere C) a sphere and a cone D) a cylinder and a hemisphere 📝 Solution: (d) Because the shape of the shuttle cock is equal to sum of frustum of a cone and hemisphere. 13 / 20 13. If a hollow cube of internal edge 22 cm is filled with spherical marbles of diameter 0.5 cm and it is assumed that – space of the cube remains unfilled. Then, the number of marbles that the cube can accomodate is A) 142344 B) 142544 C) 142444 D) 142244 📝 Solution: 14 / 20 14. A medicine-capsule is in the shape of a cylinder of diameter 0.5 cm with two hemispheres stuck to each of its ends. The length of entire capsule is 2 cm. The capacity of the capsule is A) 0.36 cm³ B) 0.35 cm³ C) 0.34 cm³ D) 0.33 cm³ 📝 Solution: 15 / 20 15. A right circular cylinder of radius r cm and height h cm (where, h>2r) just encloses a sphere of diameter A) r cm B) 2h cm C) h cm D) 2r cm 📝 Solution: (b) Because the sphere encloses in the cylinder, therefore the diameter of sphere is equal to diameter of cylinder which is 2r cm. 16 / 20 16. A metallic spherical shell of internal and external diameters 4 cm and 8 cm, respectively is melted and recast into the form a cone of base diameter 8 cm. The height of the cone is A) 15 cm B) 18 cm C) 14 cm D) 12 cm 📝 Solution: 17 / 20 17. If two solid hemispheres of same base radius r are joined together along their bases, then curved surface area of this new solid is A) 6πr² B) 3πr² C) 8πr² D) 47πr² 📝 Solution: (a) Because curved surface area of a hemisphere is 2 w and here, we join two solid hemispheres along their bases of radius r, from which we get a solid sphere. Hence, the curved surface area of new solid = 2 πr² + 2 πr² = 4πr² 18 / 20 18. A cone is cut through a plane parallel to its base and then the cone that is formed on one side of that plane is removed. The new part that is left over on the other side of the plane is called A) sphere B) a frustum of a cone C) cylinder D) cone 📝 Solution: 19 / 20 19. A mason constructs a wall of dimensions 270 cmx 300 cm x 350 cm with the bricks each of size 22.5 cm × 11.25 cm × 8.75 cm and it is assumed that 1/8 space is covered by the mortar. Then, the number of bricks used to construct the wall is A) 11100 B) 11000 C) 11200 D) 11300 📝 Solution: 20 / 20 20. 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 A) 31.7 L B) 34.7 L C) 33.7 L D) 32.7 L 📝 Solution: (a) Given, diameter of one end of the bucket Your score isShare Your Score with Friends Facebook Twitter 0% Send feedback
