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Area of combination of solids (advanced)

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Problem

Two solid hemispheres are joined together at their base to form a toy.
The radii are 3, start text, c, m, end text and 6, start text, c, m, end text.
Find the total surface area of the toy.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
pi, start text, c, m, end text, squared
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