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Question

50 circular plates, each of diameter 14 cm and thickness 0.5 cm, are placed one above the other to form a right circular cylinder. Find its total surface area.

A
1388 cm2
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B
1408 cm2
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C
1500 cm2
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D
1550 cm2
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Solution

The correct option is B 1408 cm2
Given:
50 circular plates each with diameter 14 cm

Radius of circular plates = 7 cm

Thickness of plates = 0.5 cm

As these plates are placed one above the other, the total thickness of all the plates = 0.5 x 50 = 25 cm

So, the total surface area of the right circular cylinder formed = 2πrh+2πr2
=2πr(h+r)

= 2×227×7(25+7)

= 2 x 22 x 32 = 1408 cm2

Therefore, the total surface area of the cylinder is 1408 cm2.

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