Combination of Solids Solution6





In this page combination of solids solution6 we are going to see solution some practice questions of the worksheet combination of solid worksheet1.

Question 6:

The radius of a solid sphere us 24 cm.It is melted and drawn into a long wire of uniform cross section. Find the length of the wire if its radius is 1.2 mm.

Solution

Radius of the solid sphere = 24 cm

Radius of the wire = 1.2 mm

Now we have to convert the radius of wire from mm to cm.

                        r = 1.2/10

                        r = 0.12 cm 

Now we need to find the length of the wire that is height of the wire

after melted the sphere and drawn into a long wire of uniform cross section

Volume of sphere = volume of cylindrical shaped wire

             (4/3) Πr³ = Π r² h

             (4/3) r³ = r² h

             (4/3) (24)³ = (0.12)² h

             h = (4/3) (24)³/(0.12)²

             h =  (4/3) x (24) (24) x (24) x (1/0.12) x (1/0.12)

             h = 4 x (8) (200) x (200)

             h = 1280000 mm

 Now we have to convert this from mm to km

             h = 1280000/100000

             h = 12.8 km