Ask Question
21 September, 09:45

A toy factor paints all of its rubber balls with 2 coats of of latex for durability. How many square centimeters of latex are needed to cover a rubber ball with a circumference of 16π cm?

+1
Answers (1)
  1. 21 September, 13:32
    0
    1 coat: 256π cm² ≈ 804.25 cm² 2 coats: 512π cm² ≈ 1608.50 cm² (rounds to 1608 cm²)

    Step-by-step explanation:

    The radius of the ball is ...

    r = C / (2π) = (16π cm) / (2π) = 8 cm

    The formula for the area of a sphere is ...

    A = 4πr²

    Filling in the value of the radius, we find the area of the ball to be ...

    A = 4π (8 cm) ² = 256π cm² ≈ 804.25 cm²

    Then 256π or 804.25 is the number of square centimeters needed to cover the given ball with one coat of latex.

    If the ball is only considered to be covered when it has two coats of latex, then twice that amount, 512π or 1608.50 square centimeters of latex are required.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “A toy factor paints all of its rubber balls with 2 coats of of latex for durability. How many square centimeters of latex are needed to ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers