a circle with a diameter of 2cm has a circumference of 6.28 cm
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
Began by dividing 850 by 1, then 2, then 3, and so on, and I made a list of the whole numbers.
They were 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, and 850
By inspection, the two smallest numbers which when multiplied together yielded 850 were 25 and 34.