Question 420947
the radius of the sphere is {{{(1/2)sqrt(10^2 + 10^2 + 10^2) = sqrt(3*10^2)/2 = sqrt(300)/2 = 10sqrt(3)/2 = 5sqrt(3)}}}.  Hence the volume of the sphere is {{{V = (4/3)*pi*r^3 = (4/3)*pi*(5sqrt(3))^3 = (4/3)*pi*375sqrt(3) = 500* sqrt(3)*pi}}} cu. cm.