Question

The neck and bottom of a bottle have diameters 2 cm and 8 cm respectively. The
bottle is completely filled with kerosene. If the cork in the neck is pressed with a force
of 10 N, what force is exerted on the bottom of the bottle ? Name the law / principle
you have used to find this force.

Answer 1

Answer:

Radius of the cork at the neck is 1cm.

Area of the cork, A

c

=π×1

2

cm

2

So, pressure applied through the cork, P

c

=

π×1

2

1.2

kgf.cm

−2

Same pressure is applied on the bottom of the bottle as per Pascal's law.

Radius of the bottom of bottle is 5cm.

Area of the bottom, A

b

=π×5

2

cm

2

So, force applied at the bottom = P

c

×A

b

=

π×1

2

1.2

×π×5

2

=1.2×25=30kgf