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nasryn

  • 2 years ago

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?

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  1. goformit100
    • 2 years ago
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    use speed time formula...

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

  3. satellite73
    • 2 years ago
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    related rates right?

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

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

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

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

  8. goformit100
    • 2 years ago
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    @bloodrain

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

  10. nasryn
    • 2 years ago
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    :(

  11. satellite73
    • 2 years ago
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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

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

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

  14. Dido525
    • 2 years ago
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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.

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