Question

a colonial vessel whose internal radius radius is 5 cm and height 24cm is full of water. The water is emptied into a cylinder vessel with internal radius 10cm. find the heigth to which the water rises.

Answer 1

Radius of cone = 5 cm

Height of the cone = 24 cm

Radius of the cylinder = 10 cm

Height of the cylinder = h cm

According to the question ,

1/3πr²h = πr²h

So, π and π on both sides get cancelled

1/3 x (5)² x 24 = (10)² x h

25 x 8 = 100 x h

200 = 100 x h

h = 200/100

  = 2 cm