Two cylinders A and B are formed by folding a rectangular sheet of dimensions 20 cm × 10 cm along its length and also along its breadth respectively. Then the curved surface area of A is ________ curved surface area of B.
Solution:
Since cylinder A is rolled along the length of the rectangular sheet and will form a cylinder of circumference of 20 cm.
2πr = 20 cm
h = 10 cm
Curved Surface Area(A) = 2πrh
Curved Surface Area(A) = 20 × 10 cm²
Curved Surface Area(A) = 200 cm²
Since cylinder B is rolled along the breadth of the rectangular sheet and therefore forms a cylinder of circumference of 10 cm.
2πr = 10 cm
h = 20 cm
Curved Surface Area(B) = 2πrh
Curved Surface Area(B) = 10 × 20 cm²
Curved Surface Area(B) = 200 cm²
Curved surface area of cylinder A = curved surface area of cylinder B
✦ Try This: Cylinders A is formed by folding a rectangular sheet of dimensions 20 cm × 10 cm along its length and cylinder B by folding a rectangular sheet of dimensions 20 cm × 20 cm along its breadth. Then the curved surface area of A is ________ the curved surface area of B.
Since cylinder A is rolled along the length of the rectangular sheet and will form a cylinder of circumference of 20 cm.
2πr = 20 cm
h = 10 cm
Curved Surface Area(B) = 2πrh
Curved Surface Area(B) = 20 × 10 cm²
Curved Surface Area(B) = 200 cm²
Since cylinder B is rolled along the breadth of the rectangular sheet and therefore forms a cylinder of circumference of 10 cm.
2πr = 20 cm
h = 20 cm
Curved Surface Area(B) = 2πrh
Curved Surface Area(B) = 20 × 20 cm²
Curved Surface Area(B) = 400 cm²
Curved surface area of cylinder B = 2 × Curved Surface Area of cylinder A
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 11
NCERT Exemplar Class 8 Maths Chapter 11 Problem 48
Two cylinders A and B are formed by folding a rectangular sheet of dimensions 20 cm × 10 cm along its length and also along its breadth respectively. Then the curved surface area of A is ________ curved surface area of B.
Summary:
Two cylinders A and B are formed by folding a rectangular sheet of dimensions 20 cm × 10 cm along its length and also along its breadth respectively. Then the curved surface area of A is the same as the curved surface area of B
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