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Ex 13.6, 6 - The capacity of a closed cylindrical vessel - Volume Of Cylinder

  1. Chapter 13 Class 9 Surface Areas and Volumes
  2. Serial order wise
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Ex 13.6, 6 The capacity of a closed cylindrical vessel of height 1 m is 15.4 litres. How many square metres of metal sheet would be needed to make it? Given Height = 1 m and Capacity of cylindrical vessel = Volume of cylinder = 15.4 litres = 15.4×1/1000 m3 = 154×1/10000 m3 = 154/10000 m3 Now, we know that Volume of cylinder = πr2h 154/10000 = 22/7 ×r2 × 1 22/7 ×r2 × 1 = 154/10000 r2 = 154/10000×7/22 r2 = 7/10000×7/1 r2 = 72×1/(100)2 r = √(72×1/(100)2) r = 7/100 m r = 0.07 m We have to find square metres of metal sheet needed to make it, i.e. total surface area of cylinder as it is closed vessel Total surface area of cylinder = 2πr(r + h) = 2× 22/7 × 7/100 × (7/100 + 1) = 2× 22 × 1/100 × ((7+100)/100) = 44 × 1/100 × (107/100) = 0.4708 m2

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