116k views
3 votes
a solid cone of height 12cm and radius 9cm is recast into a solid sphere calculate the surface area of the sphere

User Mpdonadio
by
8.6k points

1 Answer

0 votes

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

User Shujaat Siddiqui
by
8.1k points

No related questions found