The total surface area of the cylinder is 2992 sq. units.
The total surface area of the cylinder with radius 'r' and height 'h' is
T.S.A = 2πr² + 2πrh = 2πr(r + h) sq. units
It is given that,
A cylinder has a circumference of its circular base of 88 cm and a height of 20 cm.
Circumference of the circular base of a cylinder = 2πr
⇒ 2πr = 88 cm
⇒ r = 88/2π = 14 cm
Then, the total surface area of the cylinder is
T.S.A = 2πr(r + h) sq. units
= 88(14 + 20)
= 88 × 34
= 2992 sq. cm
Therefore, the total surface area of the cylinder is 2992 sq. cm.
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