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If the 9-inch wheel of cheese costs $18.60, what is the cost per square inch? If the cost is less than a dollar, put a zero to the left of the decimal point?

User Umanda
by
4.6k points

2 Answers

5 votes

Answer:

$0.29

Explanation:

We are given that a wheel of 9-inches

Cost of wheel=$18.60

We have to find the cost per square inch

Diameter of wheel=9 inches

Radius of wheel =
(9)/(2) inches

We know that area of wheel =
\pir62

Substitute the values then we get

Area of wheel =
(22)/(7)* ((9)/(2))^2

Area of wheel=63.64 square inches =

Cost of wheel=$18.60

Cost of 63.64 square inches=$18.60

Cost of one square inches=
(18.60)/(63.64)

Cost of one square inch=$0.29

Hence, cost of one square inch=$0.29

User Gravitation
by
5.1k points
2 votes

Find the area of the wheel:

Area of a circle is found using the formula:

Area = PI x r^2

9 inch would be the diameter, so the radius would be 9/2 = 4.5 inches.

The area would be 3.14 x 4.5^2 = 63.6 square inches.

Now divide the price by the area to get price per square inch:

Cost per square inch = 18.60 / 63.6 = $0.29 (rounded to the nearest cent)

User Drew Larson
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4.2k points