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1) If the volume and surface area of a sphere is numerically the same then it’s radius is_________? a. 1 unit b. 2 units c. 3 units d. 4 units
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2) A right cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is_________? a. 3: 5 b. 2: 5 c. 3: 1 d. 1: 3
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3) The radius of a circular cylinder is the same as that of a sphere. Their volumes are equal. The height of the cylinder is________? a. 4/3 times its radius b. 2/3 times its radius c. Equal to it’s radius d. Equal to it’s diameter
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4) The number of solid spheres each of diameter 6 cm, that could be moulded to form a solid metal cylinder of height 45 cm and diameter 4 cm is? a. 3 b. 4 c. 5 d. 6
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5) The length of the wire of 0.2mm radius that can be drawn after melting a solid copper sphere of diameter 18cm? a. 24.3 m b. 243 m c. 2430 m d. 24300 m
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6) The radius of a wire is decreased to one –third if volume remains the same length will increase a. 1 Time b. 3 times c. 6 times d. 9 times
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7) If the volumes of two cubes are in the ratio 8: 1, the ratio of their edges is_________? a. 8: 1 b. 2√2 : 1 c. 2 : 1 d. None of these
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8) A metal sheet 27 cm long 8cm broad and 1 cm thick is melted into a cube. The difference between the surface areas of two solids is__________? a. 284 cm2 b. 286 cm2 c. 296 cm2 d. 300 cm2
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9) A wooden box of dimensions 8m x 7m x 6m is to carry rectangular boxes of dimensions 8cm x 7cm x 6cm. The maximum number of boxes that can be carried in 1 wooden box is? a. 1200000 b. 1000000 c. 9800000 d. 7500000
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10) If the length, breadth and the height of a cuboid are in the ratio 6: 5: 4 and if the total surface area is 33300 cm2, then length breadth and height in cms, are respectively? a. 90, 85, 60 b. 85, 75, 60 c. 90, 75, 70 d. 90, 75,60
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