A metallic globe has a radius 12.7 cm.

• Using formula for volume of sphere: $V = \frac{4}{3}\pi r^3$ with $r = 12.7$ A1

• Substituting and calculating:

$\frac{4}{3}\pi(12.7)^3 = 8580.24$ A1

• Converting to required form: $V = 8.58 \times 10^3$ A1

Remember to express final answer in scientific notation with $1 \leqslant a < 10$ and $k \in \mathbb{Z}$

• Recognize volume of cone equals volume of sphere (conservation of volume) M1

• Use cone volume formula: $\frac{1}{3}\pi r^2(14.8) = 8580.24$ A1

• Solve for $r$:

  • $r^2 = \frac{8580.24 \times 3}{\pi \times 14.8}$
  • $r = 23.529...$
  • $r = 24$ cm (2 sig fig) A1

Accept equivalent methods that show volume conservation and correct working