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A tin of paint covers a surface area of 30m2. Each tin costs £5.30. The entire surface of a solid cylindrical rod with diameter 9m and height 13m needs to be painted. Find the minimum cost of painting the rod.

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asuwafohjames

The minimum cost of painting the rod is $64.9.

What is minimum cost?:

This is the least amount of money needed to buy a commodity or required to pay for services.

To calculate the minimum cost of the painting rod, We need to first find the surface area of the solid cylindrical rod.

Formula:

  • A = 2πrh.................. Equation 1

Where:

  • A = Surface area of the cylinder
  • r = Radius of the cylindrical rod
  • h = height of the cylindrical rod
  • π = Pie

From the question,

Given:

  • r  = 9/2 = 4.5 m
  • h = 13 m
  • π = 3.14

Substitute these values into equation 2

  • A = 2(3.14)(4.5)(13)
  • A = 367.38 m².

If a tin of paint covers 30 m² areas and each tin cost $5.30

Therefore, The minimum cost of painting the rod is

  • C = (367.38×5.3)/30
  • C = $64.9

Hence, the minimum cost of painting the rod is $64.9.

Learn more about minimum cost here: https://brainly.com/question/1213735

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