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VanillaAngelic

  • one year ago

Please explain this. Find the volume of a cylinder with a diameter 5 inches and height 5 feet. (Pi = 22/7)

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  1. shamim
    • one year ago
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    Make clearer ur question plz!

  2. mathstudent55
    • one year ago
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    Use this formula: \(\Large V_{cylinder} = \dfrac{1}{3} \pi r^2 h\) where r = radius of the base, and h = height of the cylinder.

  3. mathstudent55
    • one year ago
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    Also, I think you means to use pi = 22/7, not that the radius is 22/7.

  4. shamim
    • one year ago
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    I think volume of a cylinder=pi*r^2*h @mathstudent55

  5. mathstudent55
    • one year ago
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    LOL. I've been online too long. Yes, of course you're right. My formula above is for a cone.

  6. mathstudent55
    • one year ago
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    \(\Large V_{cylinder} = \pi r^2h\)

  7. VanillaAngelic
    • one year ago
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    Mind if you explain how do it step by step? Thanks. I really don't understand.

  8. mathstudent55
    • one year ago
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    Ok. Here is the explanation. For the formula you need the radius of the base of the cylinder. You were given the diameter. Do you know the relationship between the diameter and the radius of a circle?

  9. VanillaAngelic
    • one year ago
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    No..

  10. mathstudent55
    • one year ago
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    |dw:1437007341591:dw|

  11. mathstudent55
    • one year ago
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    A chord of a circle is a line segment that has as its endpoints any two points on the circle. A chord that passes through the center of a circle is a diameter. A radius of a circle is a line segment that has the center as an endpoint and a point on the circle as its other endpoint.

  12. VanillaAngelic
    • one year ago
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    Ok.

  13. mathstudent55
    • one year ago
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    |dw:1437007540372:dw|

  14. mathstudent55
    • one year ago
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    As you can see from the circle on the right side, a radius is half the length of a diameter.

  15. mathstudent55
    • one year ago
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    Now we can back to our problem above.

  16. mathstudent55
    • one year ago
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    \(\Large V_{cylinder} = \pi r^2 h\) For pi we will use 22/7 as your problem asks For h we will use 5 feet Since the diameter is 5 inches, the radius is 2.5 inches. We can use all the above info in the formula, but there is one extra step in this case. You have the radius is in inches and the height in feet. We need to choose one of those two units and convert one unit, so both measures are in the same unit. Let's use inches. \(\Large V = \dfrac{22}{7} \times (2.5~in.)^2 \times 5~ft \times \dfrac{12~in.}{ft} \)

  17. mathstudent55
    • one year ago
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    Now we need to calculate the expression above. \(V = 1178.6~in.^3\)

  18. VanillaAngelic
    • one year ago
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    Thank you very much!

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