Axial section

Axial section of the cylinder has a diagonal 40 cm. The size of the shell and the base surface are in the ratio 3:2.

Calculate the volume and surface area of this cylinder.

Correct answer:

S =  3855.98 cm2
V =  15473.44 cm3

Step-by-step explanation:

402=h2+(2r)2 S2S1=23 πr22πrh=23 r2h=23 r=32h2  r2=h2+16h222/32=h2(1+1622/32) h=1+1622/3240=14.045 cm r=32h2=18.727 cm  S=2πr2+2πrh=3855.98 cm2 
V=πr2h=15473.44 cm3

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