Question:
The radius of a cone is $7 \mathrm{~cm}$ and area of curved surface is $176 \mathrm{~cm}^{2}$. Find the slant height.
Solution:
It is given that:
Radius of cone(r) = 7 cm
Curved Surface Area (C. S. A) $=176 \mathrm{~cm}^{2}$
Slant Height of tent (l) = ?
Now we know,
C.S.A = πrl
⟹ πrl = 176
⟹ 22/7 ∗ 7 ∗ l = 176
$\Rightarrow \mathrm{l}=\frac{176 * 7}{22 * 7}=8 \mathrm{~cm}$
Therefore the slant height of the cone is 8 cm.
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