What is the slant height of cone if the total surface area of cone is

1.	What is the slant height of cone if the total surface area of cone is 17776 meter cube and the radius of cone is 56 m.?
Answer» GIVEN: Total surface area of cone is 17776 m² The radius of cone is 56 m TO FIND: What is the slant height (l) of the cone ? SOLUTION: We have given that, the total surface area of cone is 17776 meter² and the radius of cone is 56 m. We know that the formula for FINDING the total surface area of the cone is:- $\large{\boxed{\bf{\star \: AREA = \pi r (l+r) \: \star}}}$ According to question:- On putting the given values in the formula, we get Take π = 22/7 $\rm{\hookrightarrow 17776 = \dfrac{22}{\cancel{7}} \times \cancel{56} (l + 56)}$ $\rm{\hookrightarrow 17776 = 22 \times (8l + 448) }$ $\rm{\hookrightarrow \cancel\dfrac{17776}{22} = 8l + 448 }$ $\rm{\hookrightarrow 808 = 8l + 448 }$ $\rm{\hookrightarrow 808-448 = 8l }$ $\rm{\hookrightarrow 360 = 8l }$ $\rm{\hookrightarrow \cancel\dfrac{360}{8} = l }$ $\bf{\hookrightarrow <klux>45</klux> = l}$ Slant height = l = 45 m ❝ HENCE, the slant height (l) of the cone is 45 m ❞ ______________________