Volume and Surface Area
Quantitative Aptitude
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Quantitative Aptitude • Volume and Surface Area
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A sphere of radius 6 cm is placed inside a cylinder such that it touches the curved surface of the cylinder. What is the volume of the cylinder if its height equals the diameter of the sphere?
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Quantitative Aptitude • Volume and Surface Area
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A hollow cylindrical tube open at both ends is made of iron 2 cm thick. If the external diameter is 50 cm and length is 140 cm, what is the volume of iron used?
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Quantitative Aptitude • Volume and Surface Area
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A cone and a cylinder have equal radii and equal heights. What is the ratio of the volume of the cone to the volume of the cylinder?
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Quantitative Aptitude • Volume and Surface Area
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A cuboid has dimensions 12 cm × 9 cm × 6 cm. How many cubes of side 3 cm can be cut from it?
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Quantitative Aptitude • Volume and Surface Area
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The ratio of the volumes of two cubes is 8:27. What is the ratio of their total surface areas?
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Quantitative Aptitude • Volume and Surface Area
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A cube of side 8 cm is painted on all faces. It is then cut into smaller cubes of side 2 cm each. How many of the smaller cubes have exactly two faces painted?
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Quantitative Aptitude • Volume and Surface Area
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The length, breadth and height of a cuboid are in the ratio 6:5:4. If its total surface area is 592 cm², what is its volume?
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Quantitative Aptitude • Volume and Surface Area
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A rectangular water tank is 6 m long, 4 m wide and 3 m high. How many litres of water can it hold when full?
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Quantitative Aptitude • Volume and Surface Area
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A sphere of radius 7 cm is melted and recast into small cones of radius 3.5 cm and height 3 cm. How many cones can be made?
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Quantitative Aptitude • Volume and Surface Area
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The curved surface area of a cylinder is 528 cm² and its height is 14 cm. What is its volume?
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