If a rectangular sheet is folded along its length to cover the curved surface of the cylinder with radius R and height H- then find the length and breadth of the rectangular sheet-A- Length of the rectangular sheet - RB- Breadth of the rectangular sheet - HC- Length of the rectangular sheet -2 - RD- Breadth of the rectangular sheet -2 H

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Question

If a rectangular sheet is folded along its length to cover the curved surface of the cylinder with radius R and height H, then find the length and breadth of the rectangular sheet.

L e n g t h o f t h e r e c t a n g u l a r s h e e t = π R

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B r e a d t h o f t h e r e c t a n g u l a r s h e e t = H

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L e n g t h o f t h e r e c t a n g u l a r s h e e t = 2 π R

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B r e a d t h o f t h e r e c t a n g u l a r s h e e t = 2 H

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Solution

The correct options are
B $B r e a d t h o f t h e r e c t a n g u l a r s h e e t = H$
C $L e n g t h o f t h e r e c t a n g u l a r s h e e t = 2 π R$

Length of the rectangular sheet = Circumference of the cross-section of the cylinder
$= 2 π R$

Breadth of the rectangular sheet = Height of the cylinder
$= H$

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If a rectangular sheet is folded along its length to cover the curved surface of the cylinder with radius R and height H, then find the length and breadth of the rectangular sheet.

The correct options are B Breadth of the rectangular sheet =H C Length of the rectangular sheet=2πR Length of the rectangular sheet = Circumference of the cross-section of the cylinder =2πR Breadth of the rectangular sheet = Height of the cylinder =H