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10-9

The surface area of a cylinder equals the sum of

the area of its bases and the area of its curved

surface.

10-9

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)

10-9

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.

10-9

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)

10-9

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.