Answer:
SA = 4π[tex]\sqrt{241}[/tex] + 16π [tex]m^{2}[/tex]
Step-by-step explanation:
SA = LA + B where LA is the lateral area and B is the area of the base (circle)
LA = π(radius)*(slant height) = πrl
r = 4 h = 15 Slant height (l) = [tex]\sqrt{4^{2} + 15^{2}} = \sqrt{16 + 225} = \sqrt{241}[/tex]
LA = 4π[tex]\sqrt{241}[/tex]
B = [tex]4^{2}[/tex]π = 16π
SA = 4π[tex]\sqrt{241}[/tex] + 16π [tex]m^{2}[/tex]
