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Radius of Circular Base Of Cone= 8m
Total Surface Area= 350m²
Considering Slant Height as l
We know,
Total Surface Area= Curved Surface Area of Cone+ Area of circular Base
i.e.,
[tex]350 { \text{m}}^{2} = \pi \times r \times l + \pi \times {r}^{2} [/tex]
[tex]350 = \pi \times r(l \times r) \\ \\ \implies 350 = 3.142 \times 8(l + 8) \\ \\ \implies \frac{350}{3.142 \times 8} = l + 8 \\ \\ \implies 13.924 = l + 8 \\ \\ \implies l = 13.924 - 8 \\ \\ \therefore l = 5.924 \: \text{cm}[/tex]
So, Slant Height= 5.924 cm