Find the area of canvas required for a conical tent of height 24 m and base radius 7 m.
The amount of canvas required to make a cone would be equal to the curved surface area of the cone.
The formula of the curved surface area of a cone with base radius ‘r’ and slant height ‘l’ is given as
Curved Surface Area = `pirl`
It is given that the vertical height ‘h’ = 24 m and base radius ‘r’ = 7 m.
To find the slant height ‘l’ we use the following relation
Slant height, l = `sqrt(r^2 + h^2)`
= ` sqrt(7^2 + 24^2)`
l = 25
Hence the slant height of the given cone is 25 m.
Now, substituting the values of r = 7 m and slant height l = 25 m and using ` pi 22/7` in the formula of C.S.A,
Curved Surface Area = `((22).(7)(25))/7`
= (22) (25)
Therefore the Curved Surface Area of the cone is 550 m2 .
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