A hydrogen atom has a radius of about 5x109 cm The radius of

Solution

The formula for the volume of a sphere is V = 4r³/3 where r is its radius.

Thus, the volume of a hydrogen atom is(4/3)*( 5*10^-9)³cu. cm= (500/3)*10^-27cu.cm = (5/3)*10^-25 cu.cm

Also, the volume of the observable universe is (4/3)*(15 billion light years)³ =4/3)*(15*10⁹ *9.461*10¹⁷) ³ cu. cm = (4/3)*(3375* 9.461*10²⁶)³ cu. cm = (4/3)*(3.193*10³⁰)³ cu.cm = (4/3)*(32.553)*10⁹⁰ cu. cm.

Therefore, the observable universe is [(4/3)*(32.553)*10⁹⁰]/[ (5/3)*10^-25] times larger than a hydrogen atom or, (4/5)* 32.553 * 10¹¹⁵ times larger or, 2.604 * 10¹¹⁶ times larger than a hydrogen atom. ( approximately)