Find the surface area (in square feet) of the right circular cylinder shown above if the base diameter is
1
.
5
feet and the height is
3
feet. Give your answer correct to two decimal places. Use
π
=
7
2
2
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The surface area is equal to the lateral area plus the area of the two bases. We have
A = 7 2 2 ( 1 . 5 ) ( 3 ) + 2 ( 7 2 2 ) ( 4 1 ) ( 1 . 5 ) 2 = 1 7 . 6 8 s q u a r e f e e t
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The surface area of a cylinder is:
A c y l i n d e r = 2 π r 2 + 2 π r h = 2 π r ( r + h )
Hence, the solution is quite simple:
A c y l i n d e r = 7 2 2 ⋅ 2 ⋅ 0 . 7 5 feet ⋅ ( 0 , 7 5 + 3 ) feet ≈ 1 7 . 6 7 8 feet 2