Question

A rectangular sheet of paper (44 cm× 22cm) is rolled along to its length to form a cylinder. Find the total surface area and volume of the cylinder. ​

Answer 1

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If a rectangular sheet of paper 44cm×22cm is rolled along its length of form a cylinder, then the volume of cylinder in cm

3

is

Medium

Solution

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Correct option is C)

Let the radius of the cylinder be R

Since the cylinder is formed by rolling the Rectangular sheet along its length,

circumference of face of cylinder 2πR= length of the sheet

=>2×

7

22

×R=44cm

R=7cm

Height of cylinder = Width of the rectangle =22cm

Volume of the Cylinder =πR

2

h=

7

22

×7×7×22=3388cm

3