v=(4/3)pir^3
SA=4pir^2
so
V=288=(4/3)pir^3
times both sides by 3/4
216=pir^3
divide both sides by pi
216/pi=r^3
cube root both sides
6/(∛pi)=r
sub into other
sa=4pir^2
sa=4pi(6/(∛pi))^2
SA=4pi(36/(∛(pi²)))
SA=144pi/(∛(pi²))
SA=144pi∛pi/pi
SA=144∛pi
SA≈210.901 in²
not sure what option that's supposed to be
