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)

Let the base radius of the cylindrical vessel be r cm.
Then, circumference of the base of the cylindrical vessel = 2πr cm.
According to the question,

$rightwards double arrow space space space 2 cross times 22 over 7 cross times straight r equals 132 rightwards double arrow space space space straight r equals fraction numerator 132 cross times 7 over denominator 2 cross times 22 end fraction$

$rightwards double arrow$ r = 21 cm; h = 25 cm

∴ Capacity of the cylindrical vessel = $πr squared straight h$

$equals 22 over 7 left parenthesis 21 right parenthesis squared space left parenthesis 25 right parenthesis space cm cubed equals space 34650 space cm cubed equals 34650 over 1000 l italic equals italic space italic 34 italic. italic 65 italic space l$

Hence, the cylindrical vessel can hold 34.65 l of water.

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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? (1000 cm3 = 1l)

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Mathematics

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)