The Progressive Teacher Vol 04 Issue 03

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worksheet Max Marks: 20 Surface Areas and Volumes Tick ( ) the correct answer 1. A round bottom flask is a combination of a. Hemisphere + cylinder c. Hemisphere + cone b. Sphere + cylinder d. Sphere + cone 2. When a solid is melted and recast to form another solid, the volume of the new solid a. Remains unchanged c. Decreases b. Increases d. May increase or decrease 3. A solid sphere of radius r is melted to form a cone of the same radius. The height of the cone is a. r c. 3r b. 2r d. 4r 4. A cube of edge 2 cm is melted to form smaller cubes of edge 1 cm each. The ratio of the surface area of the large cube to the smaller cubes is a. 1 : 8 c. 1 : 2 b. 1 : 4 d. None of these 5. A toy is in the form of a cone mounted on a hemisphere of common base radius 7 cm. The total height of the toy is 31 cm. The slant height of the cone is a. 31 cm c. 24 cm b. 7 cm d. 25 cm 6. The radii of two cylinders are in the ratio 1 : 2 and their heights are in the ratio 5 : 3. The ratio of their volumes is a. 5 : 12 c. 5 : 6 b. 25 : 36 d. 4 : 9 7. A solid spherical ball of diameter 6 cm is melted to form three smaller spherical balls. If the diameter of two of the balls is 4 cm and 5 cm, the diameter of the third ball is a. 1.5 cm c. 3 cm b. 2 cm d. 4.5 cm 8. Three cubes, each of volume 8 cm3 are joined end to end. The surface area of the resulting cuboid is a. 28 cm 2 c. 72 cm 2 b. 56 cm 2 d. None of these 9. The curved surface area of a cylinder is one-third of its total surface area. If its total surface area is 462 sq. cm and the height is twice the radius, then the height of the cylinder is ⎛ 22 ⎞ a. 7 2 ⎜π= ⎝ ⎟ 7 ⎠ cm c. 154 cm b. 7 cm d. 14 cm Class X: mathematics 10. A solid metallic sphere of radius 21 cm is melted to form a number of smaller cones of diameter 14 cm and height 6 cm. The number of cones formed is a. 63 c. 126 b. 189 d. 100 11. A test tube is in the shape of a right circular cylinder with a hemispherical end. The diameter of both the parts is 3 cm and the total height of the test tube is 9.5 cm. The volume of liquid that it can hold is a. 81π cm 3 c. 18π cm 3 b. 81 π cm 3 4 d. 9 π cm 3 4 12. A hemispherical bowl of diameter 30 cm is filled with some liquid, which is poured into 60 cylindrical bottles of height 6 cm each. The diameter of each cylindrical bottle is a. 2.5 cm c. 3 cm b. 5 cm d. 6 cm 13. The height of a frustum of a cone is 24 cm and its slant height is 40 cm. The difference in the radii of the two circular sides is a. 28 cm c. 25 cm b. 21 cm d. 32 cm 14. A bucket is in the form of a frustum of a cone. The radii of its two ends are 14 cm and 7 cm. If the slant height of the bucket is 20 cm, its total surface area is a. 420π cm 2 c. 469π cm 2 b. 420 cm 2 d. 616π cm 2 Match the following: Colomn A Colomn B 15. Total surface area of a cylinder a. 4πr 2 4 16. Total surface area of a cone b. π 3 3 r 1 17. Volume of a hemisphere c. π ( 2 + 2 + ) 18. Volume of a frustum d. 2πr 2 20. Lateral surface area of a hemisphere 3 h R r Rr e. πr(l + r) f. 2πr (h + r) g. πl (R+r) h. 2 3 πr i. 3πr 2 3 40 The Progressive Teacher © DS Digital Private Limited I Photocopying permitted
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Page 3 and 4: Editorial July/August, 2017 Vol. 04
Page 5 and 6: Editorial 03 New Trends in Educatio
Page 7 and 8: In the future, problems will become
Page 9 and 10: atmosphere that allows for free thi
Page 12 and 13: counselling Why Schools Need Career
Page 14 and 15: ethics -Jeny Rapheal Proliferation
Page 16 and 17: motivation -Dr Shayama Chona In spi
Page 18: classroom management -Payal Adhikar
Page 21 and 22: skills programme aims for. The Stud
Page 23 and 24: Pullout PLANNER Jul/Aug 2017 www.pr
Page 25 and 26: Class VI: geography Motions of the
Page 27 and 28: Class VI: history What Books and Bu
Page 29 and 30: Class VII: mathematics Algebraic Ex
Page 31 and 32: Class VII: mathematics Exponents an
Page 33 and 34: Class VIII: history The Changing Wo
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Page 37 and 38: 4 cm Class X: mathematics Circles T
Page 39: Class X: mathematics Areas Related
Page 43 and 44: new trends ‘Facing the Challenges
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Page 48 and 49: value education -Geeta Gujral Theod
Page 50 and 51: new trends New Educational Trends:
Page 52 and 53: BIOLOGY EXPLORING THE SUBJECT BIOLO
Page 54 and 55: career in history -Meera Bhuvanesh
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The Progressive Teacher Vol 04 Issue 03

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