Question

Selim is ordering concrete spheres to place as barriers in the city park. The spheres cost $2 per square foot, and Selim can spend $20 per sphere. What is the maximum diameter of the spheres he can purchase?

Answers

  1. Answer:
    1.78 feet.
    Step-by-step explanation:
    If they cost $20 each and its $2 per square foot, the area of the spheres
    is 20 / 2 = 10 ft^2.
    Area of sphere = 4 π r^2 = 10   (where r = the radius)
    —> r^2 = 10 / 4π
                =   0.796
    —> r = 0.892 ft
    So the diameter = 2 * r  
                               =  1.78 feet to nearest hundredth.    

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