VanillaAngelic
  • VanillaAngelic
Please explain this. Find the volume of a cylinder with a diameter 5 inches and height 5 feet. (Pi = 22/7)
Mathematics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
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shamim
  • shamim
Make clearer ur question plz!
mathstudent55
  • mathstudent55
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.
mathstudent55
  • mathstudent55
Also, I think you means to use pi = 22/7, not that the radius is 22/7.

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shamim
  • shamim
I think volume of a cylinder=pi*r^2*h @mathstudent55
mathstudent55
  • mathstudent55
LOL. I've been online too long. Yes, of course you're right. My formula above is for a cone.
mathstudent55
  • mathstudent55
\(\Large V_{cylinder} = \pi r^2h\)
VanillaAngelic
  • VanillaAngelic
Mind if you explain how do it step by step? Thanks. I really don't understand.
mathstudent55
  • mathstudent55
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?
VanillaAngelic
  • VanillaAngelic
No..
mathstudent55
  • mathstudent55
|dw:1437007341591:dw|
mathstudent55
  • mathstudent55
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.
VanillaAngelic
  • VanillaAngelic
Ok.
mathstudent55
  • mathstudent55
|dw:1437007540372:dw|
mathstudent55
  • mathstudent55
As you can see from the circle on the right side, a radius is half the length of a diameter.
mathstudent55
  • mathstudent55
Now we can back to our problem above.
mathstudent55
  • mathstudent55
\(\Large V_{cylinder} = \pi r^2 h\) 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. \(\Large V = \dfrac{22}{7} \times (2.5~in.)^2 \times 5~ft \times \dfrac{12~in.}{ft} \)
mathstudent55
  • mathstudent55
Now we need to calculate the expression above. \(V = 1178.6~in.^3\)
VanillaAngelic
  • VanillaAngelic
Thank you very much!

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