A cylindrical vessel of height 24cm and diameter 40cm is full of water. ____ is the exact number of small cylindrical bottles, each of height 10cm and diameter 8cm , which can be filled with this water.

# A cylindrical vessel of height 24cm and diameter 40cm is full of water. ____ is the exact number of small cylindrical bottles, each of height 10cm and diameter 8cm , which can be filled with this water.

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### Solution:

Now, the cylindrical vessel's height =24 cm,
diameter =40 cm  radius =20 cm  Volume V= $\pi {{r}}^{{2}}{h}$
V= $\pi {{20}}^{{2}}{.}{24}$
small cylindrical bottles's height =10 cm  diameter =8 cm, radius =4 cm
Volume V= $\pi {{4}}^{{2}}{10}$   exact number of small cylindrical bottles = Volume cylindrical vessel /Volume of small cylindrical bottles
N=$\frac{{\pi }{.}{{20}}^{{2}}{.}{24}}{{\pi }{.}{{4}}^{{2}}{.}{10}}$
On simplification
N = 60
60 is the exact number of small cylindrical bottles, each of height 10cm and diameter 8cm , which can be filled with this water.

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