Number of cylindrical bottles required =
Volume of hemispherical bowl / Volume of 1 cylindrical bottle
= 2250p =2 ́2250=60.
75p 75
Example-17.The diameter of a metallic sphere is 6cm. It is melted and drawn into a long wire having a circular cross section of diameter as 0.2 cm. Find the length of the wire.
Solution :
Diameter of metallic sphere = 6cm
Radius of metallic sphere = 3cm
Now, diameter of cross – section of cylindrical wire = 0.2 cm.
Radius of cross section of cylinder wire = 0.1 cm.
Let the length of wire be l cm.
Since the metallic sphere is converted into a cylidrical shaped wire of length h cm.
Volume of the metal used in wire =Volume of the sphere.
Therefore, the length of the wire is 36 m.