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30/07/2021 10:11 am
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The circumference of the base of cylindrical vessel is 132 cm and its height is 25 cm.
How many litres of water can it hold? (1000 cm3= 1L) (Assume π = 22/7)
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30/07/2021 10:13 am
Circumference of the base of cylindrical vessel = 132 cm
Height of vessel, h = 25 cm
Let r be the radius of the cylindrical vessel.
Step 1: Find the radius of vessel
We know that, circumference of base = 2πr, so
2πr = 132 (given)
r = \(\frac{132}{2π}\)
r = 66 × \(\frac{7}{22}\) = 21
Radius is 21 cm
Step 2: Find the volume of vessel
Formula: Volume of cylindrical vessel = πr2h
= (22/7) × 212 × 25
= 34650
Therefore, volume is 34650 cm3
Since, 1000 cm3 = 1L
Volume = 34650/1000 L = 34.65L
Therefore, vessel can hold 34.65 litres of water.