A baseball coach needs sand to cover the circular pitching mound on a baseball field with a diameter of 10 feet. A store sells 5 pound bags of sand, and each pound of sand covers 3 square feet. What is the smallest number of bags the coach can buy to completely cover the pitching mound in sand?

Respuesta :

The smallest number bags required to cover the pitch is approximately 27 bags

Data given;

  • diameter = 10 feet,
  • radius = diameter / 2 = 10/2
  • weight of the bag = 5 pounds
  • area of the bag = 3 ft^2

To solve this question, we have to find the area of the pitch.

Area of Circle

[tex]A = \pi r^2\\A = \pi (5)^2\\A = 78.5ft^2[/tex]

The area of the pitch is 78.5ft^2.

To determine the smallest number of bags required to cover the pitch, we divide the area by 3

[tex]number of bags = \frac{78.5}{3}\\n =26.16[/tex]

The smallest numbers of bags required to cover the pitch is approximately 27 bags.

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