Volume and Surface Area mcqs test 01 05/11/201904/11/2019 by 1. The radius and height of a right circular cone are in the ratio 3:4. If its volume is 96 T cm, what is its slant height? 12 cm 9 cm 10 cm 8 cm 2. The curved surface of a right circular cone of height 15 cm and base diameter 16,cm is 136 cm 120 TT cm 68 T cm 60 T cm 3. If the volumes of two cones are in the ratio of 1:4 and their diameters are in the ratio of 4: 5, then the ratio of their heights is: 25 : 64 5:4 1:5 5: 16 4. The radius of two cones are in the ratio 2:1, their volumes are equal. Find the ratio of their heights. 2:1 4:1 1:4 1:8 5. A cone of height 7 cm and base radius 3 cm is carved from a rectangular block of wood 10 cm x 72 cm. The percentage of wood wasted is: 54% 34% 46% 66% 6. The length of canvas 1.1 m wide required to build a conical tent of height 14 m and the floor area 346.5 sq. m is: 860 m 665 m 525 m 490 m 7. A hollow iron pipe is 21.cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm, then the weight of the pipe is: 3.696 kg 36 kg 36.9 kg 3.6 kg 8. If the radius of the base and the height of a right circular cone are doubled, then its volume becomes ? 3 times 2 times 8 times 4 times 9. If the height of a cone be doubled and radius of base remains the same, then the ratio of the volume of the given cone to that of the second cone will be: 2:1 8:1 1:8 1:2 10. If a right circular cone of height 24 cm has a volume of 1232 Cm, then the area of its curved surface is ? 550 cm 154 cm 704 cm 1254 cm 11. A right circular cone and a right circular cylinder have equal base and equal height. If the radius of the base and the height are in the ratio 5: 12, then the ratio of the total surface area of the cylinder to that of the cone is: 3 1 34:9 17 9 13:9 12. If the height of a right circular cone is increased by 200% and the radius of the base is reduced by 50%, then the volume of the cone: remain unaltered increases by 50% increases by 25% decreases by 25% 13. The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface. 30 r cm 2 60 TT Cm 80 T cm 2 40 TT cm 14. A circular cylinder can hold 61.6 c.c. of water. If the height of the cylinder is 40 cm and the outer diameter is 16 mm, then thickness of the material of the cylinder is 2 mm 0.2 mm 0.3 mm 1 mm 15. A cylindrical tube opėn at both ends is made of metal. The internal diameter of the tube is 11.2 cm and its length is 21,cm. The metal everywhere is 0.4 cm thick. The volume of the metal is: 310 cm 316 cm 280.52 cm 306.24 cm 16. The slant height of a conical mountain is 2.5 km and the area of its base is 1.54 km?. The height of the mountain is: 4 km 3 km 2.4 km 2.2 km 17. A hollow garden roller 63 cm wide with a girth of 440 cm is made of iron 4 cm thick. The volume of the iron used is: 54982 cm 58752 cm 56372 cm 57636 cm 18. Volume of a right circular cone having base radius 70 cm and curved surface area 40040 cm is: 862400 cm 824000 cm 840000 cm 823400 cm 19. If the area of the base of a right circular cone is 3850 cm2 and its height is 84 cm, then the curved surface area of the cone is? 10010 cm 11000 cm 10001 cm 10100 cm 20. Two cones have their heights in the ratio of 1: 3 and rad 3: 1. The ratio of their volumes is: 1:3 1:1 3:1 2:3 21. The radius of the base and height of a cone are 3 cm and 5 cm respectively whereas the radius of the base and height of a cylinder are 2 cm and 4 cm respectively. The ratio of the volume of cone to that of the cylinder is: 45:16 15: 16 15:8 1:3 22. A right triangle with sides 3 cm, 4 cm and 5 cm is rotated about the side of 3 cm to form a cone. The volume of the cone so formed is: 2.2 km 3 km 3.11 km 2.4 km 23. If both the radius and height of a right circular cone are increased by 20%, its volume will be increased by: 60% 20% 72% 40% 24. The volume of the largest right circular come that can be cut out of a cube of edge 7 cm is: 89.8 cm 121 cm 13.6 cm 147.68 cm 25. A right triangle with sides 3 cm, 4 cm and 5 cm is rotated about the side of 3 cm to form a cone. The volume of the cone so formed is: 12 T cm 16 m 20 T cm 15 T Cm 26. What is the total surface total surface area of a right circular cone of height 14 cm and base radius 7 ? 344.35 cm 462 cm None of these 498.35 cm 27. What length of solid cylinder 2 cm in diameter must be taken to cast into a hollow cylinder of external diameter 12 cm, 0.25 cm thick and 15 cm long? 42.3215 cm 44.0123 cm 44.6023 cm 44.0625 cm Loading …