The curved surface area of a cylinder is 4400 cm2 and its circumference of the base is 110 cm. Find the volume of cylinder. बेलन की वक्र सतह का क्षेत्रफल 4400 सेमी2 है और इसमें आधार की परिधि 110 सेमी है। बेलन का आयतन ज्ञात कीजिए।
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36700 cm3/सेमी3
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36720 cm3/सेमी3
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38500 cm3/सेमी3
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39600 cm3/सेमी3
C
Correct answer
Explanation
Given: Curved surface area (CSA) = 4400 cm² = 2πrh. Circumference = 110 cm = 2πr. So r = 110/(2π). Height h = CSA/(2πr) = 4400/110 = 40 cm. Volume = πr²h = π × (110/(2π))² × 40 = π × 12100/(4π²) × 40 = 12100 × 40 / (4π) = 12100 × 10 / π = 121000/π = 121000/3.14 ≈ 38535 cm³. Checking with π=22/7: Volume = π × (35/2)² × 40 = (22/7) × (1225/4) × 40 = 22 × 175 × 40 / 7 = 22 × 7000 / 7 = 154000/7 ≈ 38500 cm³. Option C matches.