About 1520.5 cm2.
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5.5 cm
The area and perimeter of a parallelogram are not sufficient to determine its dimensions.
Two sides of 8cm & two sides of 3cm fit the problem. 8+8+3+3=22cm (the perimeter you stated) AND a rectangle of 8x3cm is an area of 24cm2
Surface area = 4*pi*112 = 1520.531 cm2 rounded to 3 d.p.
A cone with a slant height of 22cm and radius of 7cm has a total surface area of about 637.74cm2