a cylinder is made by joining the breadth sides of rectangular sheet of length l cm breadth b cm. Then TSA of cylinder is
a)lb + 2(l+b ) cm square units
b)lb cm square units
c)2πlb cm square units
d)2πl(l+b)cm square units
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Answer:
d
Step-by-step explanation:
d) 2πl(l+B)cm square units
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Given :
A cylinder is made by joining breadth sides of a rectangle
The length of rectangle = l cm
The breadth of rectangle = b cm
To Find :
Total surface Area of Cylinder
Solution :
when we join two ends of a rectangle across its breadth a cylinder formed
So Length of cylinder = breadth of rectangle
Length of cylinder = b cm
Length of rectangle = circumference of circular base
Or, l = 2 π r
∴ radius of cylinder = r =
So, Total surface area = curved surface area + 2 × base area
T S A = 2 π r h + 2 × π r²
T S A = 2 π r b + 2 × π () ²
Hence, The Total surface Area of the cylinder is 2 π r b + 2 × π () ² Answer
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