Answer:
24π cm²
Concepts Applied:
SA (TSA) of a cone = π · r · ( l+r )
Relation between l, h, and r i.e. l²=h²+r²
(h: cone height, r: base radius, l: slant height)
Explanation:
Calculating the Slant height:
l²=h²+r²
l = sqrt(h²+r²)
l = sqrt(16+9)
l = sqrt(25)
l = +5 cm (distance is a scalar quantity)
Calculating the TSA:
= π · 3 · (5+3)
= 24π cm²