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The Trunk of a Tree is Cylindrical and Its Circumference is 176 Cm. If the Length of the Trunck is 3 M. Find the Volume of the Timber that Can Be Obtained from the Trunk. - Mathematics

Sum

The trunk of a tree is cylindrical and its circumference is 176 cm. If the length of the trunck is 3 m. Find the volume of the timber that can be obtained from the trunk.

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Solution

Given data is as follows:

Circumference = 176 cm

 h = 3 m

We have to find the volume of the trunk.

We know that,

Circumference = `2pir`

Therefore,

              `2pir = 176`

`2 xx 22/7 xx r = 176`

                  ` r  = 28  cm`

                 ` r   =. 28 m`

We know,

Volume = `pi r^2 h`

=`22/7 xx .28 xx .28 xx 3`

Volume =0.7392 m3

Therefore, the volume of timber that can be obtained from this trunk is 0.7392 m3

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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 19 Surface Areas and Volume of a Circular Cylinder
Exercise 19.2 | Q 18 | Page 21
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