Surface Areas and volumes -02

Q.1) How many spherical bullets can be made out of a solid cube of lead whose edge measures 55cm, each bullet being 10 cm in diameter? (1 Marks)
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Q.2) A sphere of diameter 7 cm is dropped in a right circular cylinder vessel partly filled with water. The diameter of the cylindrical vessel is 14 cm. If the sphere is completely submerged in water, by how much will the level of water rise in the cylindrical vessel? (3 Marks)
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Q.3) A circus tent is cylindrical upto a height of 3m and conical above. If the diameter of the base is 105m and vertical height of the conical part is 7.26 m. Find the total canvas used in making the tent. (5 Marks)
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Q.4) A toy is in the shape of a right circular cylinder with a hemisphere on one end and cone on the other. The radius and height of the cylindrical part are 5cm and 13cm respectively. The radii of the hemispherical and conical parts are the same as that of the cylindrical part. Find the surface area of the toy if the total height of the cone is 30cm. (5 Marks)
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Q.5) A solid composed of a cylinder with hemispherical ends. If the whole length of the solid is 104cm and the radius of each of the hemispherical ends is 7cm, find the cost of polishing its surface at the rate of Rs.10 per sq.cm. (3 Marks)
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Q.6) The radii of the circular ends of a conical bucket which is 49cm high, are 35cm and 14cm. Find the capacity of the bucket.

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