Cylinder surface, volume

The area of the cylinder surface and the cylinder jacket are in the ratio 3: 5. The height of the cylinder is 5 cm shorter than the radius of the base. Calculate surface area and volume of the cylinder.

Correct answer:

S =  10367.26 cm2
V =  70685.83 cm3

Step-by-step explanation:

S1S2=35 πr22πrh=35 r2h=35 5r=6h h=r5  h=25 cm r=30 cm S=2πr2+2πrh=2π30(30+25)=10367.26 cm2 
V=πr2h=π30225=70685.83 cm3

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