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Question
A circus tent is cylindrical to a height of 4 m and conical above it. If its diameter is 105 m and its slant height is 40 m, then find the total area of the canvas required.
Solution
we have,
Height of the cylindrical part, H = 4 m,
Radius of the base, `r = 105/2 "m" and
slant height of the conical part, l = 40 m
Now,
The total area of canvas required = CSA of conical part + CSA of cylindrical part
= πrl + 2πrH
= πr(l + 2H)
`=22/7xx105/2xx(40+2xx4)`
= 11 × 15 × 48
= 7920 m2
So, the area of the canvas required to make the tent is 7920 m2.
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