The Surface Area Of A Cone Is Given By The Formula, S = 03c0l + 03c0r2. Solve The Formula For L.

The surface area of a cone is given by the formula
S = πl + πr2. Solve the formula for l.


s = \pi(l) + \pi {r}^{2}  \\ s = \pi(l +  {r}^{2} ) \\  \frac{s}{\pi}  = l +  {r}^{2}  \\  \frac{s}{\pi}  -  {r}^{2}  = l \\ l =  \frac{s}{\pi}  -  {r}^{2}

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