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Question -

A circus tent has a cylindrical shape surmounted by a conical roof. The radius of the cylindrical base is 20 cm. The heights of the cylindrical and conical portions is 4.2 cm and 2.1 cm respectively.┬а Find the volume of that tent.



Answer -


Given,

Radius of thecylindrical portion (R) = 20 m

Height of thecylindrical portion (h1) = 4.2 m

Height of the conicalportion (h2) = 2.1 m

Now, we know that

Volume of theCylindrical portion (V1) = ╧Аr2┬аh1

V1┬а=╧А(20)24.2

V1┬а=5280 m3

And, the volume of theconical part (V2) =┬а1/3 ├Ч 22/7 ├Ч r2┬а├Ч h2

V2┬а=┬а13├Ч 22/7 ├Ч 202┬а├Ч 2.1

V2┬а=880 m3

Thus, the total volumeof the tent (V) = volume of the conical portion + volume of the Cylindricalportion

V = V1┬а+V2

V = 6160 m3

Therefore, volume ofthe tent is 6160 m3┬а┬а

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