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EXERCISE 133, 2, ‘Take x= >, unless stated otherwise., , 1A metallic sphere of radius 4.2 env is melted and recast into the shape ofa cylinder of, radius 6m. Find the height of the cylinder., , 2. Metallic spheres of radi 6 cm 8 cm and 10 cm, respectively, are melted to form asingle, solid sphere. Find the radius of the resulting sphere., , 3. A20mdecp well with diameter 7 ms dug and the earth from digging is evenly spread out, to form aplatform 22 mby 14 m. Find the height ofthe platform., , 4. Awellof diameter3 mis dug 14 m deep. The earth taken out oft has been spread evealy, all around itin the shape of a circular ing of width 4 m to form an embankment. Find the, height ofthe embankment., , 5. A.container shaped like aright circular cylinder having diameter 12cm and height [Sem, isfullof icecream. The ice creams tobe filled into cones of height I2cm and diameter, 66cm. having ahemispherical shape onthe top. Find the number of such cones which ean, be filled with ice cream., , 66. How many silver coins, 1.75 cm in diameter and of thickness 2 mm, must be melted to form, cuboid of dimensions 5Scmx 10cm 35cm?, , poai-22, , 282 Maruewunes, , , , 7. Acylindrical Bucket, 32 em high and with radius of base 18cm, is filled with sand. This, ‘bucket is emptied on the ground and a conical heap of sandis formed. Ifthe height ofthe, conical heap is 24 em, find the radius and slant height of the heap., , 8. Water ina canal, 6 m wide and 1.5 mdeep is owing with aspeed of 10kavh. How much, area wil itierigate in 30 minutes, if 8em of standing water is needed?, , 9. A farmer connects a pipe of internal diameter 20 em froma canal into a cylindrical tank in, her field, whichis 10m in diameter and 2m deep. If water flows through the pipe atthe, ‘ate of 3 af in bow much time will the tank be filled?”