please solve this question
Answers
Answer:
Surface area = 616 cm²
Step-by-step explanation:
Given---> Rectangular sheet of paper of
dimension of 44cm × 14cm is rolled
along its length and a cylinder is formed
To find ---> Surface area of cylinder
formed
Solution---> Length of sheet = 44 cm
Breadth of sheet = 14 cm
Sheet is rolled along length and cylinder is formed
So circumference of cylinder = Length of
sheet
2 π r = 44
r = 44 / 2 π
r = 44 × 7 / 2 × 22
r = 44 × 7 / 44
r = 7 cm
Height of cylinder formed = Breadth of
sheet
h = 14 cm
Cylinder formed is hollow so surface area of cylinder is equal to curved surface area of cylinder
Surface area of cylinder formed = Curved
surface area of cylinder
= 2 π r h
= 2 ×( 22/7 ) × ( 7 ) × 14
= 2 × 22 × 14
= 616 cm²
Additional information--->
1) Volume of cylinder = π r² h
2) Total surface area = 2πr (r + h )
3) area of base of cylinder = π r²
surface of are 161cm2
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