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

Step-by-step explanation:

According to the problom

Given that

Radius of hemispherical bowl = 9 cm

Hence the volume of bowl =

3

2

πr

2

Implies that

=

3

2

×

7

22

×9×9×9

Implies that

=1527.42cm

3

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 = πr

2

h

==

7

22

×1.5×1.5×4cm

3

Let the number of bottle be (n)

Implies that

=n×

7

22

×9×9×9

implies that

=n=

3×1.5×1.5×4

2

×9×9×9

implies that

n=5

Hence the number of bottle is 54.

Answer 2

Step-by-step explanation:

n=1125

hope this would help you