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The surface area of a cone is given by the formula s = πl πr2. solve the formula for l. l = s – r2 l = s r2 l = l equals startfraction s over pi minus r squared. – r2 l = l equals startfraction s over pi plus r squared. r2

Respuesta :

The formula for the length of the cone is given by  l = (S/π) - r^2, if the volume of the cone is S = πl + πr^2.

According to the given question.

The surface area of the cone is  given by

S = πl + πr^2

Therefore,

The formula for the length of the cone is given by

S = πl + πr^2

⇒ S = π(l + r^2)

⇒ (S/π) = l + r^2

⇒ (S/π) - r^2 = l

or l = (S/π) - r^2

Hence, the formula for the length of the cone is given by  l = (S/π) - r^2, if the volume of the cone is S = πl + πr^2.

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