In this problem you’ll consider objects at the extreme ends of astronomical density scale. you can assume that all objects given below are spherical and of uniform density. recall that volume of a sphere of radius r is v = 4r3π/3. the only formula you’ll need is m = rho∗v where rho is the density of the object, m is its mass and v its volume. (a) assume that the density of a neutron star is 5 ∗ 1017kg/m3. what is the mass of one teaspoon of neutron star matter? you can assume that the standard teaspoon volume is 5ml = 5 ∗ 10−6m3. (b) assuming the same density, what is the radius of a neutron star with mass equal to two solar masses? (c) molecular clouds are the birthplace of stars. a typical molecular cloud has density of rho = 1.67 ∗ 10−19kg/m3. what is the diameter of a cloud with mass equal to one solar mass? give your answer both in meters and in light years. (the answer in (c) will give you the minimal size of the part of the cloud needed for the creation of the solar system. a typical total size of the protostellar cloud is much, much larger.)