SOLUTION: An aluminum plate is made according to the following dimensions. The outer radius is 10 inches and the inner radius is 3 inches. (See diagram below) Use  = 3.14 as an appro
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Question 112315: An aluminum plate is made according to the following dimensions. The outer radius is 10 inches and the inner radius is 3 inches. (See diagram below) Use = 3.14 as an approximate value. (a) How many square inches in area is the aluminum plate (the shaded region)? (b) If the cost to construct the plate is $7.50 per square inch, what is the construction cost?
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
IF YOU ARE SAYING THAT THERE IS A 3 IN. HOLE IN THE CENTER OF THE PLATE THEN:
AREA=PI*R^2
AREA=3.14*10^2
AREA=3.14*100
AREA=314 IN^2
THE AREA OF THE 3 IN. HOLE:
AREA=PI*3^3
AREA=3.14*9
AREA=28.26 IN^2
SUBTRACTING FOR THE AREA OF THE HOLE WE HAVE LEFT:
314-28.26=285.74 IN^2 IS THE AREA OF THE 10 IN. PLATE WITH A 3 IN. HOLE.
285.74*7.50=$2,143.05 IS THE COST TO CONSTRUCT THIS PLATE.
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