If the radius of the bottom of a cylinder is increased by 4 cm, the side area will be increased by 75.36 square cm. The ratio of the side area to the original is 5:3

Let the original radius of the bottom be r, the height of the cylinder be l, and the circumference be Π = 3.14
2∏(r+4)L-2∏rL=75.36
2∏*4*L=75.36
L=3CM
S:s=5:3
S-s=75.36
So s = 2 Π RL = 113.07
r=6cm
So the original volume is Π R ^ 2L = 339.12

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