Let the radius of the sphere be \( r \) units. According to the question, \[ 4\pi r^2 = 5544 \] i.e., \[ 4 \times \frac{22}{7} \times r^2 = 5544 \] \[ r^2 = \frac{5544 \times 7}{4 \times 22} \] \[ r^2 = 63 \times 7 = 3 \times 3 \times 7 \times 7 \] \[ r = 3 \times 7 = 21 \] ∴ Volume of the sphere = \[ \frac{4}{3} \pi \times 21^3 \text{ cubic cm} \] \[ = \frac{4 \times 22 \times 21 \times 21 \times 21}{3 \times 7} = 38808 \text{ cubic cm} \] ∴ The volume of the sphere is 38808 cubic cm.