Question

The capacity of a closed cylindrical vessel of height 1 m is 154 litres . find the area of the metal sheet needed to make it .​

Answer 1

Answer:

Height of the vessel=1m

Capacity of the vessel=15.4 liters

=

1000

15.4

m

3

=0.0154m

3

Volume of the cylindrical vessel=πr

2

h=0.0154

⇒

7

22

×r

2

×1=0.0154

r

2

=

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)m

2

=0.4708m

2

∴0.4708m

2

of sheet will be required to make the vessel.

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