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nasryn Group Title

Oil spilled from a ruptured tanker is spreading in a circular pattern. If the radius of the circle is increasing at the constant rate of 1.5 feet per second, how fast is the area of the spill increasing when the radius of the spill is 42 feet?

  • 2 years ago
  • 2 years ago

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  1. goformit100 Group Title
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    use speed time formula...

    • 2 years ago
  2. nasryn Group Title
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    I've never heard of that.

    • 2 years ago
  3. satellite73 Group Title
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    related rates right?

    • 2 years ago
  4. nasryn Group Title
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    Yeah, related rates.

    • 2 years ago
  5. satellite73 Group Title
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    \(A=\pi r^2\) and so \(A'=2\pi rr'\)

    • 2 years ago
  6. satellite73 Group Title
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    you are told \(r'=1.5\) and \(r=42\) plug in the numbers and get \(A'\) in one step

    • 2 years ago
  7. nasryn Group Title
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    wow, that was easy. I'm terrible at these.

    • 2 years ago
  8. goformit100 Group Title
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    @bloodrain

    • 2 years ago
  9. satellite73 Group Title
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    yeah, i have to admit that one was real easy they get harder

    • 2 years ago
  10. nasryn Group Title
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    :(

    • 2 years ago
  11. satellite73 Group Title
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    well only the formulas get harder to figure out, i am willing to bet that you knew the formula for the area of a circle

    • 2 years ago
  12. nasryn Group Title
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    yeah, I was just thinking like A=pi(r^t/1.5)^2 then I was super confused

    • 2 years ago
  13. nasryn Group Title
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    That made absolutely no sense to me.

    • 2 years ago
  14. Dido525 Group Title
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    The minute hand on a watch is 8mm long and the hour hand is 4 mm long. How fast is the distance between the tips of the hands changing at one o'clock? THat's the hardest one I have done myself.

    • 2 years ago
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