2) A rectangular piece of paper is 22cm. long and 10 cm. wide.
A cyllinder is formed by rolling the paper along its length.
Find the volume of the right - circular cylinder so formed.
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ANSWER
Since rectangular piece of paper of rolled along its length.
∴ 2πr = 22
r = 22 × 7 / 2 × 22 = 3.5 cm
Height of cyclinder (h) = 10 cm
∴ Volume of cyclinder = πr2h
= 22 / 7 × 3.5 × 3.5 × 10
= 385 cm3.
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3
Length of the rectangular paper will be height of the cylinder and width of the rectangular paper is circumference of the cylinder
∴2πr=10cm and h=22cm
Now volume of the cylinder =πr2h
722×2π10×2π10×22cm^3
=722×210×227×210×227×22cm3=175cm^3
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