Respuesta :

Answer

[tex]36\pi cm^2[/tex]

Explanations:

The formula for calculating the surface area of a cone is expressed as;

[tex]SA=base\text{ area}+curved\text{ surface area}[/tex]

Given the following

[tex]\begin{gathered} base\text{ area}=16\pi cm^2 \\ side\text{ area}=20\pi cm^2 \end{gathered}[/tex]

Take the sum

[tex]\begin{gathered} TSA=16\pi+20\pi \\ TSA=36\pi cm^2 \end{gathered}[/tex]

Hence the total surface area of the cone is 36pi square cm

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