(Q8)How many spherical balls can be made out of a solid cube of lead whose edge measures 44 cm and each ball being 4 cm in diameter.

Side of lead cube = 44cm.

Radius of spherical ball =
4
2
 cm = 2 cm
Now volume of a spherical ball =
4
3
 πr3
=
4
3
 ×
22
7
 × 3 cm3
=
4
3
 ×
22
7
 × cm3

Let the number of balls be 'x'.

Volume of x spherical ball =
4
3
 ×
22
7
 × × x cm3

It is clear that volume of x spherical balls = Volume of lead cube

⇒
4
3
 ×
22
7
 × × x = ( )cm3
⇒
4
3
 ×
22
7
 × × x = × ×
⇒ x =
× × × 3 × 7
4 × 22 ×

x =

Hence, total number of spherical balls = .