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MBA 2026

LTL QT-22 - Mensuration -1

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  1. The volume of a cube is 2744 cm³. Its surface area is

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2. The ratio of the total surface area to the lateral surface area of a cylinder with base radius 80 cm and height 20 cm is

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3.  The lateral surface area of a cylinder is 176 cm² and base area 38.5 cm². The volume of the cylinder is

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4.  The height of a cylinder is 14 cm and its curved surface area is 264 cm². The volume of the cylinder is

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5. The ratio between the radius of the base and the height of the cylinder is 2: 3. If its volume is 1617 cm³, the total surface area of the cylinder is

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6. The ratio of the volumes of two spheres is 8:27. The ratio between their surface areas is

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7. The curved surface area of a cylinder is 264 m² and its volume is 924 m³. The height of the cylinder is

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8. The radii of the base of a cylinder and cone are in the ratio 3: 4 and their heights are in the ratio 2: 3, then ratio of their volumes is

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9. A spherical ball of radius 3 cm is melted and recast into three spherical balls. The radii of two of these balls are 1.5 cm and 2 cm. The radius of the third ball is

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10. The cost of painting the T.S.A. of a cone at 5 paise/cm² is Rs. 35.20. If its slant height is 25 cm, then its volume is

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11. The number of spherical balls each of radius 1 cm, that can be made from a solid sphere of lead of radius 8 cm is

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12. A circus tent is cylindrical up to a height of 4 m and conical above it. If its diameter is 105 m and its slant height is 40 m, the total area of canvas required to built the tent is

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13.  A glass cylinder with diameter 20 cm has water to a height of 9 cm. A metal cube of 8 cm edge is immersed in it completely. The height by which water will rise in the cylinder is (Take π = 3.14)

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14. A solid sphere of radius r is melted and recast into the shape of a solid cone of height r, the radius of the base of the cone is

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15. The material of a cone is converted into the shape of a cylinder of equal radius. If height of the cylinder is 5 cm, then height of the cone is

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16. A right triangle with sides 3 cm, 4 cm and 5 cm is revolved about the side 3 cm. The volume of cone so formed is

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17. The volume of the greatest sphere that can be cut off from a cylindrical log of wood of base radius 1 cm and height 5 cm is

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18. 12 spheres of the same size are made from melting a solid cylinder of 16 cm diameter and 2 cm height. The diameter of each sphere is

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19. If the radius and slant height of a cone are in the ratio 4: 7 and its curved surface area is 792 cm², then its radius is  (Take π = 22/7)

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20. A toy is in the form of a cone mounted on a hemisphere of radius 7 cm. The total height of the toy is 14.5 cm. Find the volume of the toy. (Take π = 22/7)

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21. A bucket is in the form of a frustum of a cone and holds 28.490 litres of water. The radii of the top and bottom are 14 cm and 21 cm respectively. Find the height of the bucket.

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22. A cone, a hemisphere and a cylinder stand on equal bases and have the same height. What is the ratio of their volumes?

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23. In a swimming pool, base measuring 90 m × 40 m, 150 men take a dip. If the average displacement of water by a man is 8 m³, then rise in water level is

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24. The areas of three adjacent faces of a rectangular block are in the ratio of 2:3:4 and its volume is 9000 cu. cm, then the length of the shortest side is

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25. Metallic spheres of radii 7 cm, 9 cm and 11 cm respectively are melted to form a single solid sphere. The radius of the resulting sphere is

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