8. The capacity of a closed cylindrical vessel of height 1 m is 15.4 litres. Find the area of the metal sheet needed to make it.
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0.4708m²of sheet will be required to make the vessel.
Step-by-step explanation:
Height of the vessel=1m
Capacity of the vessel=15.4 liters
= 1000/15.4m³
=0.0154m³
Volume of the cylindrical vessel=πr²
h=0.0154
⇒7/22 ×r²×1=0.0154
r² = 22/0.0154×7
=0.0049
⇒r=0.07m
Metal sheet needed to make the cylindrical vessel=T.S.A of the cylindrical vessel.
⇒2πr(r+h)=2× 7/22 ×0.07(0.07+1)m²
=0.4708m²
∴0.4708m²of sheet will be required to make the vessel.
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