The circumference of base of a cylindrical vessel is 143cm and its height is 20 cm .How many litres of water can it hold
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Since the base of a cylindrical vessel is a circle, so its radius can be easily obtained using the circumference = 2πr
The volume of a cylinder of base radius, r and height, h = πr2h
Let the radius of the base be 'r'
Height of the cylinder, 'h' = 25 cm
Circumference of the base = 132 cm
2πr = 132 cm
r = 132 / 2π
= (132 / 2) × (7 / 22)
= 21 cm
The capacity of the cylindrical vessel = πr2h
= 22/7 × 21 cm × 21 cm × 25 cm
= 34650 cm3
= 34650/1000 (Since 1000 cm3 = 1 L)
= 34.65 L
Step-by-step explanation:
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