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# 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. Find the volume of that tent.

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I would like to give a question which
i could not solve.Rd sharma class 10
maths exercise-16.2 mensuration.

In this question we have to find the volume of the tent
given that 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.

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1. Given,

Radius of the cylindrical portion (R) = 20 m

Height of the cylindrical portion (h1) = 4.2 m

Height of the conical portion (h2) = 2.1 m

Now, we know that

Volume of the Cylindrical portion (V1) = Ï€r2 h1

V1 = Ï€(20)24.2

V1 = 5280 m3

And, the volume of the conical part (V2) = 1/3 Ã— 22/7 Ã— r2 Ã— h2

V2 = 13 Ã— 22/7 Ã— 202 Ã— 2.1

V2 = 880 m3

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

V = V1 + V2

V = 6160 m3

Therefore, volume of the tent is 6160 m3

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