(Q5).A hemispherical bowl of internal diameter 36 cm contains a liquid. This liquid is to be filled in cylindrical bottles of radius 3 cm and height 6 cm How many bottles are required to empty the bowl?

Let the number of bottles required = n

Then total volume of n bottles = volume of the hemispherical bowl

n. πr12h = πr22h

Bottle:

Radius, r = 3 cm; Height, h = 7 cm

Volume, V = πr2h

=
× × ×

= cm3

∴ Total volume of n bottles = . cm3.

Bowl:

Radius, r =
d
2
 =
= cm
Volume, V =
2
3
 πr3
=
×
×××
=
××
Thus, .=
××
n =
××
×
 =
=

∴ bottles are required to empty the bowl.