Ncert -class10-Maths -SURFACE AREAS AND VOLUMES Welcome to your Ncert -class10-Maths -SURFACE AREAS AND VOLUMES 1. Volumes of two spheres are in the ratio 64:27. The ratio of their surface areas is 3:4 16:9 4:3 9:16 None 2. A largest possible right circular cylinder is cut out from a wooden cube of edge 7 cm. The volume of wood left over after cutting the cylinder is 73.5 cm³ 48.75 cm³ 63.5 cm³ 72.5 cm³ None 3. On a Sunday, your Parents took you to a fair. You could see lot of toys displayed, and you wanted them to buy a RUBIK’s cube and strawberry icecream for you. Observe the figures and answer the questionThe length of the diagonal if each edge measures 6cm is 3√6 3√12 3√3 6√3 None 4. How many balls each of radius 1cm can be made by melting a big ball whose diameter is 8 cm? 554 76 36 64 None 5. The sum of the length, breadth and height of a cuboid is 6√3cm and the length of its diagonal is 2√3cm. The total surface area of the cuboid is 72cm² 108cm² 96cm² 48cm² None 6. Two identical solid hemispheres of equal base radius r cm are stuck together along their bases. What will be the surface area of the solid formed ? 6πr² 3πr² 9πr² 4πr² None 7. Assertion (A): Three identical solid cubes of side ‘p’ are joined end to end. Then the total surface area of the resulting solid is 18p²Reason (R): The total surface area of a cube of side ‘x ’ is given by 6x² Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A). Assertion (A) is true but Reason (R) is false. Assertion (A) is false but Reason (R) is true. Both assertion (A) and reason (R) are true and Reason (R) is the correct explanation of Assertion (A). None 8. An open water tank of cuboidal shape has the measurement 2m×1.6mx1.8m. The thickness of the wall of the water tank is 10cm. Which ofthe following givesthe capacity (in litre) of the tank? 1.9 × 1.5 × 1.7 1.8 × 1.4 × 1.6 2.1 × 1.7 × 1.9 2 × 1.6 × 1.8 None 9. A cube having edge 4cm is cut into 1 cm cubes. The total surface area of all the cubes will be: 328 cm² 338 cm² 348 cm² 384 cm² None 10. In the above question if a lid is placed on the water tank made up of cement with thickness 3cm, then what is the volume of the cement used? 6.4m² 3.412m² 6.62m² 19.576m² None 11. A cubical ice cream brick of edge 22 cm is to be distributed among some children by filling ice cream cones of radius 2cm and height 7cm upto its brim. How many children will get the ice cream cones? 363 463 263 163 None 12. A rectangular sheet of paper 40cm x 22cm, is rolled to form a hollow cylinder of height 40cm. The radius of the cylinder(in cm) is: 5 3.5 7 80/7 None 13. Sheela went to a science exhibition. There she saw a hemispherical structure with diameter mentioned as 140cm. What is the surface area of the table top? 5.88πm² 0.98πm² 0.49πm² 1.47πm² None 14. Statement A (Assertion): Total Surface area of the top is the sum of the curvedsurface area of the hemisphere and the curved surface area of the cone.Statement R( Reason) : Top is obtained by joining the plane surfaces of thehemisphere and cone together. Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A) Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of assertion (A) Assertion (A) is false but reason (R) is true. Assertion (A) is true but reason (R) is false. None 15. During conversion of a solid from one shape to another, the volume of the new shape will remain unaltered decrease be doubled increase None 16. If each edge of a cube is increased by 25%, the percentage increase in its surface area is 25 % 50 % 56.25 % 48.75 % None 17. None 18. Assertion (A): If the height of a cone is 24 cm and diameter of its base is 14 cm, then the slant height of the cone is 25 cm.Reason (R): If ‘r’ is the radius and ‘h’ is the height of the cone, thenits slant height is √h² +r² Both assertion (A) and reason (R) are true and Reason (R) is the correct explanation of Assertion (A). Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A). Assertion (A) is false but Reason (R) is true. Assertion (A) is true but Reason (R) is false. None 19. A solid sphere of radius r is melted to form a solid cone of height r, the radius of base of cone is : 4r r 3r 2r None 20. DIRECTION: In the following question, a statement of assertion (A) is followed by astatement of Reason (R). Choose the correct option.Statement A (Assertion): The volume of two sphere are in the ratio 27: 8 then their surface area in the ratio 3:2.Statement R (Reason): Volume of sphere = 4/3 πr 3 and it’s surface area = 4π2 Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A) Assertion (A) is true but reason (R) is false Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of assertion (A) Assertion (A) is false but reason (R)is true None Time's up Please Share This Share this content Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Leave a Reply Cancel replyCommentEnter your name or username to commentEnter your email address to commentEnter your website URL (optional) Save my name, email, and website in this browser for the next time I comment.
