The volume of the cylinder is equal to the sum of all spheres the volume of 1 sphere is V1=4/3×pi×(1/2 x)³ simplified V1=1/6×pi×x² we conclude that the volume of the cylinder is V2=270V1 V2=45×pi×x³ also the V2 can be calculated from the cylinder V2= base(circle)×height V2=(3x)²×pi×h=9x²×h so we have 9x²×pi×h=45×pi×x³ simplified h=5x
