How i find the best tricky way for solving the question of class 9th of Surface areas and Volumes chapter of question no.1 give me the best and easy method for this question no.1 of exercise 13.6 The circumference of the base of cylindrical vessel is 132cm and its height is 25cm. How many litres of water can it hold? (1000 cm3= 1L) (Assume π = 22/7)
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The circumference of the base of cylindrical vessel is 132cm and its height is 25cm. How many litres of water can it hold? (1000 cm3= 1L) (Assume π = 22/7) Q.1
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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 = (132/(2 π))
r = 66×7/22 = 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
So, Volume = 34650/1000 L= 34.65L
Therefore, vessel can hold 34.65 litres of water.