Question

A hemispherical bowl of internal radius
of 60 cm is full of some liquid. This
liquid is to be filled into a number of
cylindrical bottles each of radius 4 cm
and height 8 cm. The number of
bottles needed is​

Answer 1

Answer:

According to the problom 

Given that 

Radius of hemispherical bowl = 9 cm

Hence the volume of bowl = 32πr2

Implies that 

=32×722×9×9×9

Implies that 

=1527.42cm3

Since height of the bottle (h) = 4cm 

and Diameter of the cylindrical bottles=3cm

Implies that 

radius = 1.5cm

Hence ,  

the volume of the cylindrical bolltle = πr2h

==722×1.5×1.5×4cm3

Let the number of bottle be (n)

Implies that 

=n×722×9×9×9

implies that 

=n=3×1.5×1.5×42×9×9×9

implies that 

n=5

Hence the number of bottle is 54.