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Short Answer Type

511. How many silver coins 1.75 cm in diameter and of thickness 2 mm must be melted to form a cuboid dimensions 5.5. cm x 10 cm x 3.5 cm.

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512. How many spherical bullets can be made out of a solid cube of lead whose edge measures 44 cm each bullet being 4 cm in diameter.

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513. How many balls each of radius 1 cm can be made from a solid sphere of lead of radius 8 cm.

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514. A hemispherical bowl of internal radius 9 cm is full of liquid. This liquid is to be filled into cylindrical shaped small bottles each of diameter 3 cm and height 4 cm. How many bottles are necessary to empty the bowl.

Solution not provided.

Ans. 54

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515. Marbles of diameter 1.4 cm are dropped into a cylindrical beaker of diameter 7 cm, containing some water. Find the number of marbles that should be dropped into the beaker, so that the water level rises by 5.6 m.

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516. Lead spheres of diameter 6 cm are dropped into a cylindrical beaker containing some water and are fully submerged. If the diameter of the beaker is 18 cm and the water rises by 40 cm. Find the number of lead spheres dropped in the water.

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517. The diameter of a sphere is 42 cm. It is melted and drawn into a cylindrical wire of 28 cm diameter. Find the length of the wire.

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518. Solid spheres of diameter 4 cm are dropped into cylindrical beaker containing some water and fully submerged. If the diameter of the beaker is 12 cm and the water rises by 24 cm. Find the number of solid spheres dropped in the water.

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519. How many spherical lead shots each 0.3 cm in diameter can be made from a rectangular solid (9 x 11 x 12) cm³.

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520. A spherical shell of lead whose external diameter is 18 cm is melted and recast into a cylinder 8 cm high and 12 cm in diameter. Find the inner diameter of the shell.

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