Cylinder surface, volume

The area of the base and the area of the shell are in the ratio of 3:5. Its height is 5 cm less than the radius of the base. Calculate both surface area and volume.

Correct answer:

S =  10367.26 cm2
V =  70685.83 cm3

Step-by-step explanation:

S2S1=53 2πrhπr2=53 2hr=53 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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