Question

A rectangular vessel 22 cm by 16 cm by 14 cm is full of water.If the total water is poured into an empty cylindrical vessel of radius 8 cm, find the height of water in the cylindrical vessel.

Answer 1

Indirectly the question gives us a hint that both the figures have a same volume. So, we can put the volume of both figures against each other.

Volume of rectangular vessel (Cuboid) = l x b x h
Volume of cylindrical vessel (Cylinder) = pi x r^2 x h

put together
l x b x h = pi x r^2 x h

putting values,
22 x 16 x 14 = 22/7 x 8^2 x h
4928 = 22/7 x 64 x h
22/7 x h = 4928/64
h = 77 x 7/22
h = 24.5cm

so the height of cylinder is 24.5cm

Answer 2

Answer:

volume of the rect. vessel = lbh = 22 x 16 x 14 = 4928 cm³

volume of cylinder =  \pi r²h

according to the ques.

4928 = 22/7 x 8² x h

h = 4928 x 7/22 x 1/64 = 24.5 cm

Step-by-step explanation: