Answer:
The equation for a volume of a sphere is V= (4/3)πr3
The above equations says we need to find the radius of our sphere. According to https://www.ptable.com/ the radius of a gold atom is 144 pm.
The questions wants the answer to be in cm3 which means we need to convert picometers into centimeters. 1cm= 1010pm
144pm x (1cm/1010pm) = 1.44 x 10-8cm
Now we plug the radius of the gold atom into the volume equation.
V= (4/3)π(1.44x 10-8cm)3 -----> Answer= 1.25x10-23 cm3
