Aparticular spiral galaxy can be approximated by a thin disk-like volume 62 thousand light years in radius and 7 hundred light years thick. if this galaxy contains 1,078 billion stars, estimate the average distance between the stars in this galaxy. hint: calculate the average volume per star in cubic light years, and then estimate the approximate linear dimension across such a volume. (indicate your answer to one decimal place.)

Approximate linear dimension is 2 light years.

Explanation:

Radius of the spiral galaxy r = 62000 LY

Thickness of the galaxy h = 700 LY

Volume of the galaxy = πr²h

                                   = (3.14)(62000)²(700)

                                   = (3.14)(62)²(7)(10)⁸

                                   = 84568×10⁸

                                   = (LY)³

Since galaxy contains number of stars = 1078 billion stars ≈

Now volume covered by each star of the galaxy =

=

= 7.839 Light Years

Now the linear dimension across the volume

=

=

= 1.99 LY

≈ 2 Light Years

Therefore, approximate linear dimension is 2 light years.

he kicked it 10 feet straight up into the air? i think this works.