Having problems on the method of calculating the acceleration due to gravity of the planet.
A certain planet has a diameter of 1715 km and a density of 5254 kg/m³. The planet has a moon that orbits every 4.46 earth-days.
What is the acceleration due to gravity associated with this planet? Answer in units of miles/hour
2. Relevant equations
V = (4/3)*∏*(r)^3
V-volume r- radius
F = (G *M1*m2)/(r^2)
G – gravitational constant
r – radius
F = (m)*(v^2)/(r)
3. The attempt at a solution
so after utilizing half the diameter given as the radius the formula for volume was used to calculate the volume of this planet. since density = mass/volume the equation was rearranged to find the mass of the planet. i am a bit stuck here since i find it difficult using the information for the orbit of the planet into this problem. any insights towards the solution for the acceleration would be appreciated.