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The capacity of a closed cylindrical …

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The capacity of a closed cylindrical vessel of height 1m is 15.4 litres.How many square meters if metal sheet would be needed to make it?
  • 2 answers

Vinayak Singh 4 years, 1 month ago

height of the cylinder =1m capacity of the cylinder=volume of the cylinder=15.4 litres =15400 cubic cm =0.0154 m sq. so,r2h=0.0154 m sq. 22/7*r2*1=0.0154 r2=0.0154*7/22 r2=0.0049 r=0.07 so the total surface area =2rh+2r2 =2r(r+h) =2*22/7*0.07(0.07+1) =0.44*1.07 =0.4708 m sq.

Vinayak Singh 4 years, 1 month ago

What would you like to ask? 9th Maths Surface Areas and Volumes Surface Area of Right Circular Cylinders and Cones The capacity of a closed cy... MATHS The capacity of a closed cylindrical vessel of height 1 m is 15.4 litres. How many square meters of metal sheet would be needed to make it? MEDIUM Share Study later ANSWER Height of the vessel=1m Capacity of the vessel=15.4 liters =100015.4​m3=0.0154m3 Volume of the cylindrical vessel=πr2h=0.0154 ⇒722​×r2×1=0.0154 r2=220.0154×7​=0.0049 ⇒r=0.07m Metal sheet needed to make the cylindrical vessel=T.S.A of the cylindrical vessel. ⇒2πr(r+h)=2×722​×0.07(0.07+1)m2 =0.4708m2 ∴0.4708m2 of sheet will be required to make the vessel.
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