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We want to make a closed cylindrical storage tank of height $2 m$ and base diameter $210 cm$ from a metal sheet. How many square meters of the sheet are required for the purpose?

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15.11 m 2

20.13 m 2

10.12 m 2

18.1 m 2

answer is B.

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Detailed Solution

Given- height of closed cylindrical storage tank = 2m.
Base diameter = 210 cm.

⇒ r = d 2 ⇒ r = 2102 c m = 2.10 2 m [1 c m = 1100 m]

Total surface area of a cylinder

= 2 π r (h + r)

Sheet required to make the cylinder = total surface area of a cylinder

= 2 π r (h + r) = 2227 2.10 2 2 + 2.10 2 = 447 × 2.10 2 × 6.1 2 = 563.64 28 = 20.13 m 2

Thus, the sheet required to make the cylinder is

20.13 m 2

.
Hence, option 2 is the correct option.

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