Answered

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A cone has a circular base of radius 8m. Given that the total surface area of the cone is 350m^2, find the slant height

Sagot :

EliteSouI

Hello There!!

Given

Radius of Circular Base Of Cone= 8m

Total Surface Area= 350m²

Considering Slant Height as l

Solving

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

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