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30 circular plates, each of radius 14 cm and thickness 3 cm are placed one above the another to form a cylindrical solid. Find the total surface area. - Mathematics

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प्रश्न

30 circular plates, each of radius 14 cm and thickness 3 cm are placed one above the another to form a cylindrical solid. Find the total surface area.

योग
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उत्तर

Given, radius of a circular plate, r = 14 cm

Thickness of a circular plate = 3 cm

Thickness of 30 circular plates = 30 × 3 = 90 cm

Since, 30 circular plates are placed one above the another to form a cylindrical solid.

Then, Height of the cylindrical solid, h = Thickness of 30 circular plates = 90 cm

Total surface area of the cylindrical solid so formed

= `2πr(h + r) = 2 xx (22/7) xx 14(90 + 14)`

= 44 × 2 × 104

= 9152 cm2

Hence, the total surface area of the cylindrical solid is 9152 cm2.

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अध्याय 13: Surface Area & Volumes - Exercise 13.4 [पृष्ठ १२८]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 9
अध्याय 13 Surface Area & Volumes
Exercise 13.4 | Q 8. (i) | पृष्ठ १२८
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