The capacity of a closed cylindrical vessel of height 1 meter is 15.4 litres. How many square meters metal sheet would be needed to make it.
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Answered by
10
HEY!!
Given height of the cylinder, h = 1 m
Capacity of the cylinder = 15.4 litres
V = 0.001 x 15.4 = 0.0154 cu m
That is πr2h = 0.0154
r2 = (0.0154 x 7) / (22 ) = 0.0049
Hence r = 0.07 m
Total surface area = 2πr(r + h)
= 2 x (22/7) x (0.07)(0.07 + 1)
= 0.4708 sq m
Given height of the cylinder, h = 1 m
Capacity of the cylinder = 15.4 litres
V = 0.001 x 15.4 = 0.0154 cu m
That is πr2h = 0.0154
r2 = (0.0154 x 7) / (22 ) = 0.0049
Hence r = 0.07 m
Total surface area = 2πr(r + h)
= 2 x (22/7) x (0.07)(0.07 + 1)
= 0.4708 sq m
Answered by
1
Hi friend,
HEIGHT OF CYLINDER = 1m
Volume of cylinder = 15.4 L = (15.4×1000) m = 15400 m
πr²h = 15400
22/7 × r² × 1 = 15400
r² = 15400×7/22
r² = 4900
r = ✓4900 = 70 m
METALLIC SHEET USED FOR MAKING THE CYLINDER = CSA OF CYLINDER+ AREA OF BOTTOM = 2πrh + πr²= πr(2h+r) = 2×22/7 × 70 (2×1+ 70)= 220×72 = 15840 m².
HOPE IT WILL HELP YOU... :-)
HEIGHT OF CYLINDER = 1m
Volume of cylinder = 15.4 L = (15.4×1000) m = 15400 m
πr²h = 15400
22/7 × r² × 1 = 15400
r² = 15400×7/22
r² = 4900
r = ✓4900 = 70 m
METALLIC SHEET USED FOR MAKING THE CYLINDER = CSA OF CYLINDER+ AREA OF BOTTOM = 2πrh + πr²= πr(2h+r) = 2×22/7 × 70 (2×1+ 70)= 220×72 = 15840 m².
HOPE IT WILL HELP YOU... :-)
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