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in Surface Areas And Volumes by (56.3k points)

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.

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Given,

50 circular plates each with diameter 14 cm

Radius of circular plates = 7cm

Thickness of plates = 0.5 cm

As these plates are 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 = 2πr × h + 2πr2

= 2πr (h + r)

= 2(22/7) x 7 x (25 + 7)

= 2 x 22 x 33 = 1408 cm2

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

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