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Question
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 = V1 + V2
= 5280 + 880
= 6160 m3
Hence, the volume of the circus tent is V = 6160 m3
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