Answer:
489.3 cm²
Explanation:
The volume of a cone is:
V = ⅓ π r² h
The volume of a sphere is:
V = ⁴/₃ π r³
The surface area of a sphere is:
A = 4π r²
The cone has a height of 12 and radius of 9, so the volume is:
V = ⅓ π (9)² (12)
V = 324π
The sphere has the same volume, so its radius is:
324π = ⁴/₃ π r³
r = 6.24
Therefore the surface area is:
A = 4π (6.24)²
A = 489.3 cm²