50 circular discs each of radius 7 cm and thickness 1/2 cm are placed one above the other to form a right circular cylinder . find the curved surface area of a cylinder so formed.
Answers
Given data : 50 circular discs each of radius 7 cm and thickness 1/2 cm are placed one above the other to form a right circular cylinder.
To find : The curved surface area of a cylinder which fromed by disc's.
Solution :
Now, according to given,
→ Number of disc's = 50
→ Radius of each disc ( r ) = 7 cm
→ Thickness of each disc = 1/2 cm = 0.5 cm
When disc's are placed one above the other to form a right circular cylinder then, height of cylinder ( h ) is { 50 * 0.5 } cm
∴ height of cylinder ( h ) = 25 cm
Now, by formula of curved surface area of cylinder,
→ curved surface area of cylinder
= 2 * π * r * h
→ curved surface area of cylinder
= 2 * 22/7 * 7 * 25
→ curved surface area of cylinder
= 2 * 22 * 25
→ curved surface area of cylinder
= 44 * 25
→ curved surface area of cylinder
= 1100 cm²
Answer : Hence, curved surface area of of cylinder which form due to disc's is 1100 cm².
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