The circumference of the base of the cylindrical vessel is 154 cm and its height is 49 mm. How many litres of water can it hold? (Use π = 22/7 and give the answer correct to three decimal places.)

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Accepted Answer

Step 1: Given circumference of the base = 154 cm.
Step 2: Circumference formula: C = 2πr.
Using π = 22/7, 154 = 2 × (22/7) × r
=> 154 = (44/7) × r
=> r = (154 × 7) / 44 = 154 × 7 / 44 = 154 × 0.15909 = 24.5 cm
Step 3: Height is given as 49 mm. Convert to cm: 49 mm = 4.9 cm.
Step 4: Volume of cylinder = πr²h = (22/7) × (24.5)² × 4.9
Calculate r² = 24.5 × 24.5 = 600.25
Volume = (22/7) × 600.25 × 4.9
= (22/7) × 2941.225
= 22 × 420.175 (since 2941.225 / 7 = 420.175)
= 9243.85 cm³
Step 5: Convert volume from cm³ to liters (1 liter = 1000 cm³)
Volume in liters = 9243.85 / 1000 = 9.244 liters
Answer: 9.244 liters (correct to three decimal places).

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