In this page combination of solids solution6 we are going to see solution some practice questions of the worksheet combination of solid worksheet1.
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.
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) x (24) x (24) x (1/0.12) x (1/0.12)
h = 4 x (8) x (200) x (200)
h = 1280000 mm
Now we have to convert this from mm to km
h = 1280000/100000
h = 12.8 km