Class 10 Maths MCQs Chapter 13 Surface Areas and Volumes
MCQ On Surface Area And Volume Class 10 Question 1. A cylindrical pencil sharpened at one edge is the combination of
(a) two cylinders
(b) a hemisphere and a cylinder
(c) a cone and a cylinder
(d) frustum of a cone and a cylinder
Answer
Question 2. A shuttlecock used for playing badminton has the shape of the combination of
(a) a cylinder and a sphere
(b) a sphere and a cone
(c) a cylinder and a hemisphere
(d) frustum of a cone and a hemisphere
Answer
MCQ Questions On Surface Area And Volume 10th NCERT Question 3. The slant height of the frustum of a cone having radii of two ends as 5 cm and 2 cm respectively and height 4 cm is
(a) √26 cm
(b) 5 cm
(c) √65 cm
(d) 25 cm
Answer/ Explanation
Surface Area And Volume Class 10 MCQ Question 4. The total surface area of a hemispherical solid having radius 7 cm is
(a) 462 cm²
(b) 294 cm²
(c) 588 cm²
(d) 154 cm²
Answer/ Explanation
MCQ Of Surface Area And Volume Class 10 Question 5. A solid formed on revolving a right angled triangle about its height is
(a) cylinder
(b) sphere
(c) right circular cone
(d) two cones
Answer/ Explanation
Surface Area And Volume MCQ Questions Question 6. The surface area of a sphere is 616 cm2. Its radius is
(a) 7 cm
(b) 14 cm
(c) 21 cm
(d) 28 cm
Answer/ Explanation
Multiple Choice Questions On Surface Area And Volume Question 7. A cylinder and a cone are of same base radius and of same height. The ratio of the volume of the cylinder to that of the cone is
(a) 2 : 1
(b) 3 : 1
(c) 2 : 3
(d) 3 : 2
Answer/ Explanation
Volume And Surface Area Multiple Choice Questions Question 8. The volume of a sphere is 4851 cm3. Its diameter is
(a) 3.5 cm
(b) 7 cm
(c) 14 cm
(d) 21 cm
Answer/ Explanation
Surface Area And Volume Class 10 MCQ Question 9. A piece of paper is in the shape of a semi¬circular region of radius 10 cm. It is rolled to form a right circular cone. The slant height is
(a) 5 cm
(b) 10 cm
(c) 15 cm
(d) 20 cm
Answer/ Explanation
MCQs On Surface Area And Volume Question 10. The base radii of two circular cones of the same height are in the ratio 3 : 5. The ratio of their volumes are
(a) 9 : 25
(b) 5 : 3
(c) 9 : 5
(d) 3 : 25
Answer/ Explanation
Surface Area And Volume Multiple Choice Questions Question 11. The curved surface area of glass having radii 3 cm and 4 cm respectively and slant height 10 cm is
(a) 55 cm²
(b) 110 cm²
(c) 220 cm²
(d) 440 cm²
Answer/ Explanation
MCQ On Surface Area And Volume Question 12. If two solid hemispheres of same base radius are joined together along their bases, then curved surface area of this new solid is
(a) 3πr²
(b) 4πr²
(c) 5πr²
(d) 6πr²
Answer
13. The radii of the top and bottom of a bucket of slant height 13 cm are 9 cm and 4 cm respectively. The height of the bucket is
(a) 10 cm
(b) 12 cm
(c) 15 cm
(d) 16 cm
Answer/ Explanation
14. A surahi is the combination of [NCERT Exemplar Problems]
(a) a sphere and a cylinder
(b) a hemisphere and a cylinder
(c) two hemispheres
(d) a cylinder and a cone
Answer/ Explanation
15. Match the column :
(a) 1 → A, 2 → C, 3 → D, 4 → E
(b) 1 → F, 2 → B, 3 → C, 4 → E
(c) 1 → B, 2 → C, 3 → D, 4 → E
(d) 1 → F, 2 → E, 3 → C, 4 → A
Answer/ Explanation
MCQ Questions For Class 10 Maths Surface Area And Volume Question 16. A cube whose edge is 20 cm long, has circles on each of its faces painted black. What is the total area of the unpainted surface of the cube if the circles are of the largest possible areas?
(a) 90.72 cm²
(b) 256.72 cm²
(c) 330.3 cm²
(d) 514.28 cm²
Answer/ Explanation
17. If two solid hemispheres of the same base radius r are joined together along their bases, then curved surface area of this new solid is [NCERT Exemplar Problems]
(a) 4πr²
(b) 6πr²
(c) 3πr²
(d) 8πr²
Answer/ Explanation
18. The radius (in cm) of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is [AI2011]
(a) 4.2
(b) 2.1
(c) 8.1
(d) 1.05
Answer/ Explanation
19. How many bags of grain can be stored in a cuboid granary 12 m × 6 m × 5 m. If each bag occupies a space of 0.48 m3?
(a) 750
(b) 75
(c) 1500
(d) 375
Answer/ Explanation
20. In a swimming pool measuring 90 m × 40 m, 150 men take a dip. If the average displacement of water by a man is 8 m3, then rise in water level is
(a) 27.33 cm
(b) 30 cm
(c) 31.33 cm
(d) 33.33 cm
Answer/ Explanation
MCQ Questions on Surface Area and Volume 10th NCERT Question 21. Match the column:
(a) 1 → C, 2 → A, 3 → D, 4 → F
(b) 1 → C, 2 → A, 3 → D, 4 → E
(c) 1 → C, 2 → B, 3 → D, 4 → F
(d) 1 → C, 2 → A, 3 → F, 4 → D
Answer/ Explanation
22. Given that 1 cu. cm of marble weighs 25 g, the weight of a marble block of 28 cm in width and 5 cm thick, is 112 kg. The length of the block is
(a) 36 cm
(b) 37.5 cm
(c) 32 cm
(d) 26.5 cm
Answer/ Explanation
23. A sphere and a cube have equal surface areas. The ratio of the volume of the sphere to that of cube is
Answer/ Explanation
Surface Area and Volume MCQ Question 24. A sphere of diameter 18 cm is dropped into a cylindrical vessel of diameter 36 cm, partly filled with water. If the sphere is completely submerged, then the water level rises (in cm) by [Delhi 2011]
(a) 3
(b) 4
(c) 5
(d) 6
Answer/ Explanation
25. The shape of a gilli, in the gilli-danda game (see Fig.), is a combination of [NCERT Exemplar Problems]
(a) two cylinders
(b) a cone and a cylinder
(c) two cones and a cylinder
(d) two cylinders and a cone
Answer/ Explanation
26. A right circular cylinder of radius r cm and height h cm (h > 2r) just encloses a sphere of diameter [NCERT Exemplar Problems]
(a) r cm
(b) 2r cm
(c) h cm
(d) 2h cm
Answer/ Explanation
Surface Area and Volume Class 10 MCQ Question 27. During conversion of a solid from one shape to another, the volume of the new shape will [NCERT Exemplar Problems]
(a) increase
(B) decrease
(c) remain unaltered
(d) be doubled
Answer/ Explanation
28. A rectangular block 6 cm × 12 cm × 15 cm is cut into exact number of equal cubes. The least possible number of cubes will be
(a) 6
(b) 11
(c) 33
(d) 40
Answer/ Explanation
29. Ariver 1.5 m deep and 36 m wide is flowing at the rate of 3.5 km per hour. The amount of water that runs into the sea per minute (in cubic metres) is
(a) 31500
(b) 3150
(c) 3150000
(d) 6300
Answer/ Explanation
30. The number of coins, 1.5 cm in diameter and 0.2 cm thick to be melted to form a right circular cylinder of height 10 cm and diameter 4.5 cm is
(a) 350
(b) 400
(c) 450
(d) 500
Answer/ Explanation
31. The shape of a glass (tumbler) (see Fig.) is usually in the form of [NCERT Exemplar Problems]
(a) A cone
(b) frustum of a cone
(c) a cylinder
(d) a sphere
Answer/ Explanation
32. A shuttle cock used for playing badminton has the shape of the combination of [NCERT Exemplar Problems]
(a) a cylinder and a sphere
(b) a cylinder and a hemisphere
(c) a sphere and a cone
(d) frustum of a cone and a hemisphere
Answer/ Explanation
33. 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 [NCERT Exemplar Problems]
(a) a frustum of a cone
(b) cone
(c) cylinder
(d) sphere
Answer/ Explanation
Multiple Choice Questions on Surface Area and Volume Question 34. In a right circular cone, the cross-section made by a plane parallel to the base is a [NCERT Exemplar Problems]
(a) circle
(b) frustum of a cone
(c) sphere
(d) hemisphere
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