The circumference of the base of a cylindrical vessel is 44 cm and its height is 25 cm. How many liters of water can it hold? (Take π = 22/7)

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Accepted Answer

Step 1: Given circumference of the base of the cylinder = 44 cm.
Step 2: Circumference formula: C = 2πr
44 = 2 × (22/7) × r
44 = (44/7) × r
r = 44 × 7 / 44 = 7 cm
Step 3: Height (h) = 25 cm
Step 4: Volume of cylinder = πr²h
= (22/7) × 7² × 25
= (22/7) × 49 × 25
= 22 × 7 × 25
= 3850 cm³
Step 5: Convert cm³ to liters (1 liter = 1000 cm³)
Volume in liters = 3850 / 1000 = 3.85 liters
Step 6: Check options carefully. The volume calculated is 3.85 liters, but the options given are 3.85, 83.5, 3.58, 38.5.
Step 7: Re-examine the calculation for any mistake.

Recalculation:
Circumference = 44 = 2πr
r = 44 / (2 × 22/7) = 44 × 7 / 44 = 7 cm (correct)
Volume = πr²h = (22/7) × 7 × 7 × 25 = (22/7) × 49 × 25 = 22 × 7 × 25 = 3850 cm³
Convert to liters = 3850 / 1000 = 3.85 liters

Therefore, the correct option is 1. 3.85.

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