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The circumference of the base of a cylindrical vessel is 132 cm and its height is 25 cm. How many litres of water can it hold?

Q : 1     The circumference of the base of a cylindrical vessel is 132 cm and its height is 25 cm. How many litres of water can it hold? (\small 1000\hspace{1mm}cm^3=1l)
 

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Given, 

Circumference of the base of a cylindrical vessel = 132\ cm

Height = h = 25\ cm

Let the radius of the base of the cylinder be r\ cm

Now, Circumference of the circular base of the cylinder = 2\pi r = 132\ cm

\\ \Rightarrow 2\times\frac{22}{7}\times r = 12\times11 \\ \\ \Rightarrow r = \frac{12\times7}{4} = 21\ cm

\therefore The volume of the cylinder = \pi r^2 h

\\ = \frac{22}{7}\times (21)^2 \times25 \\ = 22\times3\times21\times25 \\ = 34650\ cm^3

Also, \small 1000\hspace{1mm}cm^3=1l

\therefore 34650\ cm^3 = \frac{34650}{1000} = 34.65\ litres

Therefore, the cylindrical vessel can hold 34.65\ litres of water.

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