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yeval76

  • one year ago

Cylinder A has a radius of 12 inches and a height of 6 inches. Cylinder B has a volume of 648π. What is the percent change in volume between cylinders A and B? Cylinder B is 50% smaller than cylinder A. Cylinder B is 25% smaller than cylinder A. Cylinder B is 150% bigger than cylinder A. Cylinder B is 200% bigger than cylinder A.

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  1. yeval76
    • one year ago
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    @ganeshie8

  2. yeval76
    • one year ago
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    @ganeshie8

  3. mathstudent55
    • one year ago
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    First, find the volume of cylinder A.

  4. mathstudent55
    • one year ago
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    Do you know how to find the volume of a cylinder?

  5. yeval76
    • one year ago
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    The volume of cylinder A is 2,712.96

  6. mathstudent55
    • one year ago
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    \(\Large V_{cylinder} = \pi r^2 h\) where r = radius of the base, and h = height of the cuylinder

  7. yeval76
    • one year ago
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    Yea so the volume of cylinder A is 2,712.96

  8. yeval76
    • one year ago
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    So what do I do now?

  9. mathstudent55
    • one year ago
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    Correct. Since the volume of cylinder B is written in terms of pi, you can also write the volume of cylinder A in terms of pi. (In other words, don't multiply pi in the formula.) \(\Large V_{A} = 864 \pi\) \(\Large V_B = 648 \pi\) Ok so far?

  10. yeval76
    • one year ago
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    Yes mam or sir

  11. yeval76
    • one year ago
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    Would you divide Va by Vb and then multiply it by 100...

  12. mathstudent55
    • one year ago
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    Now we need the second step of the problem. We need to find the percent change. Look in all choices. Every choice states "Cylinder B is ... than cylinder A." This means we are comparing cylinder B to A.

  13. mathstudent55
    • one year ago
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    Here is the formula to calculate percent change: \(percent~change = \dfrac{new~amount - old~amount}{old~amount} \times 100\) If the percent change is positive, it is an increase. If the percent change is negative, it is a decrease. In this case, since we are comparing cylinder B to cylinder A, then old amount = 864 pi new amount = 648 pi (pi will cancel out in the calculation.)

  14. yeval76
    • one year ago
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    So will it be 25% smaller then cylinder A right?

  15. mathstudent55
    • one year ago
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    Correct.

  16. yeval76
    • one year ago
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    Yayyyy Thank You!!! @mathstudent55

  17. mathstudent55
    • one year ago
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    You're welcome.

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