The surface area of a cylinder equals the sum of the area of its bases and the area of its curved surface.

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The surface area of a cylinder equals the sum of
the area of its bases and the area of its curved
surface.
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Additional Example 3 Finding the Surface Area of
a Cylinder Find the surface area S of the
cylinder. Use 3.14 for p, and round to the
nearest hundredth.
ft
S area of lateral surface 2 (area of each
base)
S h (2pr) 2 (pr2)
Substitute.
S 7 (2 p 4) 2 (p 42)
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Additional Example 3 Continued Find the surface
area S of the cylinder. Use 3.14 for p, and round
to the nearest hundredth.
S 7 (2 p 4) 2 (p 42)
S 7 8p 2 16p
S 7 8(3.14) 2 16(3.14)
Use 3.14 for p.
S 7 25.12 2 50.24
S 175.84 100.48
S 276.32
The surface area is about 276.32 ft2.
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Check It Out Example 3 Find the surface area S
of the cylinder. Use 3.14 for p, and round to the
nearest hundredth.
6 ft
9 ft
S area of lateral surface 2 (area of each
base)
S h (2pr) 2 (pr2)
Substitute.
S 9 (2 p 6) 2 (p 62)
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Check It Out Example 3 Continued Find the
surface area S of the cylinder. Use 3.14 for p,
and round to the nearest hundredth.
S 9 (2 p 6) 2 (p 62)
S 9 12p 2 36p
S 9 12(3.14) 2 36(3.14)
Use 3.14 for p.
S 9 37.68 2 113.04
S 339.12 226.08
S 565.2
The surface area is about 565.2 ft2.