# A Circus Tent Has Cylindrical Shape Surmounted by a Conical Roof. the Radius of the Cylindrical Base is 20 M. the Heights of the Cylindrical and Conical Portions Are 4.2 M and 2.1 M Respectively. Find the Volume of the Tent. - Mathematics

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

#### Solution

Given that:

Radius of the cylindrical base r= 20 m

Height of the cylindrical portion h2 = 4.2 m

Height of the conical portion h2 = 2.1 m

The volume of the cylinder is given by the following formula

V_1=pir^2h_1

=22/7xx20^2xx4.2

The volume of the conical portion is

V_2=1/3pir^2h_2

=1/3xx22/7xx20^2xx2.1

= 880 m3

Therefore, the total volume of the circus tent is

V = V+ V2

= 5280 + 880

= 6160 m3

Hence, the volume of the circus tent is V = 6160 m3

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#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 14 Surface Areas and Volumes
Exercise 14.2 | Q 8 | Page 61