Europa, a Satellite of Jupiter, Has an Orbital Diameter Of 1.34

Multiple Choice

Europa, a satellite of Jupiter, has an orbital diameter of $1.34 \times 10 ^ { 9 } \mathrm {~m}$ and a period of 3.55 days. What is the mass of Jupiter? $\left( G = 6.67 \times 10 ^ { - 11 } \mathrm {~N} \cdot \mathrm { m } ^ { 2 } / \mathrm { kg } ^ { 2 } \right)$

A) $1.89 \times 10 ^ { 27 } \mathrm {~kg}$
B) $1.07 \times 10^{27} \mathrm {~kg}$
C) $1.53 \times 10 ^ { 27 } \mathrm {~kg}$
D) $3.08 \times 10 ^ { 27 } \mathrm {~kg}$
E) $1.65 \times 10^{27} \mathrm {~kg}$