Respuesta :

Given

height of cone = 4cm

Base radius of cone = 3cm

Find

TSA of cone

Explanation

[tex]l=\sqrt{4^2+3^2}=\sqrt{16+9}=5[/tex]

We know that TSA of cone is

[tex]\begin{gathered} TSA=\pi r(r+l) \\ =\pi(3)(3+5) \\ =\pi(3)(8) \\ =24\pi cm^2 \end{gathered}[/tex]

Final Answer

[tex]TSA=24\pi cm^2[/tex]