Respuesta :

Answer:

125.7cm²

Step-by-step explanation:

Given parameters:

Slant height, L = 6cm

Base radius  = 4cm

Unknown:

Total surface area = ?

Solution:

To find the total surface area, we use the expression;

      Surface area = [tex]\pi[/tex]r² + [tex]\pi[/tex]rL  

Now insert the parameters and solve

   Surface area = [tex]\pi[/tex]r(r + L )

    Surface area  =  [tex]\pi[/tex] x 4 (4 + 6) = 3.142 x 4 x 10  = 125.7cm²