Surface area of cone = pi x r x s
Where, r = radius of cone at base
s = slant height of cone
In your case, slope is 1:6, hence the height of cone = 0.5 m
Therefore, s = 3.0414 m
Surface area of cone = pi x 3 x 3.0414 = 28.66 m^2
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Regards,
Makrand Sakpal
Contact No: - 9967949656