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A cylindrical vessel open at the top has diameter $20 cm$ and height $14 cm$ . Find the cost of tin-plating it on the inside at the rate of 50 paisa per hundred square centimeters?

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Rs.5.95

Rs.5.79

Rs.5.97

Rs.5.94

answer is A.

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Detailed Solution

It is given a cylindrical vessel of diameter 20 cm and height 14 cm and the cost of tin-plating it on the inside is at a rate of 50 per hundred square cm.

R a d i u s = d i a m e t e r 2

The radius of the cylinder,
Question Image

The total surface area of the cylinder is

2 π r h + π r 2

⇒ T . S . A . = 2 × 227 × 10 × 14 + 227 × 102

⇒ T . S . A . = 2 × 22 × 10 × 2 + 227 × 100

⇒ T . S . A . = 2 × 22 × 10 × 2 + 22007

⇒ T . S . A . = 880 + 22007

⇒ T . S . A . = 6160 + 2200 7

We know that cost per

So, cost of tin paint the area inside the vessel,

Cost = 83607 × 50100 p a i s a ⇒ Cost = 83607 × 0.5 p a i s a ⇒ Cost = 597 p a i s a ⇒ Cost = Rs .5 .97      (1 r u p e e = 100 p a i s a)

The cost of a tin painting of the area inside the vessel is Rs.5.97.
Hence option (3) is correct.

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