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\ solid metallic right cone, , of height 15 cm is, melted, , and cylinders of the same, , base area, and height | cm are made, , from it. How many, cylinders can be made ?, ». 32 equal solid spherical balls of metal are, melted together and a right cone is cast. If the, height and the diameter of the base of the, | cone are equal, find the ratio of the radii of a, | ball and the base of the cone., 6 A farmer connects a pipe of internal diameter, } 20cm from a canal into a cylindrical tank in, | his field which is 10 m in diameter and 2 m, deep. If water flows through the pipe at the, rate of 6 km/h, in how much time will the, tank be filled ? ICBSE D 08], 17. Water flows through a cylindrical pipe, whose, tner radius is 1 cm, at the rate of 80 cm/sec, 0 an empty cylindrical tank, the radius of, Whose base is 40 cm. What is the rise of water, level in tank in half an hour ?, [Exemplar Problem], 184 plate of metal 1em thick, 9 cm broad and, , Bz, , is, oe 81 cm long is melted into a cube. Find the, 7 difference jn the surface area of the two, Solids,, Cae ,, 4 spherical ball of lead 3. cm in radius is, Melte, , d and recast into three spherical balls., tadii of two of these balls are 1,5 em and, , by a Find the radius of third ball., , ms Lark, , ie Metallic sphere of radius 9 cm is, , tht inthe material is used to make solid, , o Pied each of base radius 9 cm and, , se 2 ‘m. How many such cones can be, A Solig,, , Dumber of we Tight cone is melted and a, wolid right cylinders are made, , aw, , 3. 84, i 68 m (Approx), * 92 balls 12, 64,451, , 16 50 minites 17, 90 cm, , a «()", , em 23. em, , HAPTER 14 - «, Surface Areas and Volumes 13, , .33, with the material, cylinders if the radii, cylinder is half the Tai, height of each cylin, ot the cone. t, , Find the number of, lus of the base of each, dius of the cone and the, der one-third the height, 22. A cylinder whose height is equal to its, diameter has the same volume as a sphere of, radius 4 cm. Find the radius of the base of the, cylinder. IICSE 1991], The radii of the internal and external surf, , , , faces, of hollow metallic sphere are 3 cm and 5 cm, respectively. It is melted and its material is, recast into a solid cylinder of height 103 cm., , Find the diameter of the cylinder., , 24. The internal and external diameters of a, hollow spherical shell are 6 cm and 10 cm, respectively. It is melted and recast into a, solid cone of base diameter 14 cm. Find the, height of the cone so formed., , ICBSE D 05C], , 25. A spherical shell of lead whose external and, internal diameters are respectively 24 cm and, 18 cm, is melted and recast into a right, circular cylinder of height 3 cm. Find the, diameter of the base of the cylinder., , 26. The radius of a solid iron sphere is 8 on, Eight rings of iron plate of external radius 6 5, , cm are made by melting this sphere. Find the, internal diameter of each ring., , 27. A spherical shell of lead whose oan, diameter is 18 cm is melted, and famisieria, is used to make a solid right geese, height 8 cm and diamter 2 cm. Find ¢, internal diameter of the spherical shell., , 4. 3 cm 5, 25.2 cm, fore 9, 72, 13. 32 ee, 18, 1152cm? 19. 2.5m, , 24. 4m