1.

A rectangular sheet of length 40 cm and perimeter 104 cm is taken. It is folded along its length to form a right circular cylinder. What will be the volume of the cylinder(in cubic cm)?(Use π = 3.14)1). 1432.762). 1528.943). 1519.324). 1539.21

Answer»

Let breadth of rectangle be B cm.

⇒ 2(40 + B) = 104

⇒ B = 52 – 40 = 12

If SHEET is folded ALONG its length to form a RIGHT circular CYLINDER, the length will be equal to circumference of base and breadth will be equal to height of cylinder.

Let R be radius of base of cylinder.

⇒ 40 = 2π R

⇒ R = 40/6.28 = 6.37 cm

Height of cylinder = B = 12 cm

∴ Volume of cylinder = π × 6.37 × 6.37 × 12 = 1528.94 cubic cm


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