It’s estimated that there are a trillion comets in the Oort cloud, which extends the end to about 50,000 AU.Part A What is the total volume that the Oort cloud, in cubic AU? (Hints: because that the objective of this calculation, you can assume the Oort cloud fills the whole sphere out to 50000 AU. The equation because that the volume of a sphere is 43πr3 whereby r is the radius.)VtheOortcloud = AU3Part BHow much space does every comet have in cubic AU, on average?Vper comet = AU3 part CTake the cube root of the median volume every comet, to find their common spacing in AU.Ltypical = AU

You are watching: How much space does each comet have in cubic au, on average? What is the full volume of the Oort cloud, in cubic $$\rm AU$$? (Hints: for the function of this calculation, you deserve to assume the Oort cloud fills the whole sphere the end to 50000 $$\rm AU$$. The equation for the volume the a round is $$\frac43\pi r^3$$ where r is the radius.)
Plug the numbers right into the formula and calculate: 4/3 pi r^3 = 4/3 pi (5x10^4)^3 = 5.24 x 10^14 cubic AU    