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? (1000 cm3 = 1l)

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asked Nov 10, 2017 in Mathematics by jisu zahaan (28,760 points) 26 374 811

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? (1000 cm3 = 1l)

1 Answer

+1 vote
answered Nov 10, 2017 by sforrest072 (157,439 points) 61 410 939
selected Nov 10, 2017 by jisu zahaan
 
Best answer

Here, h = 25 cm, 2πr = 132 cm. 2πr = 132 

⇒ 2 × 22/ 7 × r = 132 

⇒ r = 132x 7/ 2 x 22 cm = 21 cm 

Volume of the cylinder = π r2h = 22/ 7 × 21 × 21 × 25 cm

= 34650 cm

= 34650/ 1000 litres = 34.65 litres Ans.

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