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CBSE Class 9 Answered

A rectangular piece of paper 33 cm long and 16 cm wide is rolled along its breadth to get a cylinder of height 16 cm. Find the volume of the cylinder.

Asked by Topperlearning User | 13 Oct, 2017, 01:52: PM
Expert Answer

On rolling a rectangular paper along its breadth, length becomes the circumference of the cylinder and breadth becomes its height.

Given: Circumference of the base of the cylinder (C) = 33 cm, height (h) = 16 cm

begin mathsize 12px style straight C space equals space 2 πr
33 space equals space 2 cross times 22 over 7 cross times straight r
straight r space equals space fraction numerator 33 cross times 7 over denominator 2 cross times 22 end fraction
straight r space equals 21 over 4 space cm
end style

Let V denote the volume of the cylindrical vessel.

             begin mathsize 12px style straight V space equals space πr squared straight h
straight V space equals space 22 over 7 cross times 21 over 4 cross times 21 over 4 cross times 16 space cm cubed
straight V space equals space 1386 space cm cubed end style

Thus, the volume of the cylinder so formed is 1386 cm3.

Answered by | 13 Oct, 2017, 03:52: PM
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