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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)
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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shamim
 one year ago
Best ResponseYou've already chosen the best response.0Make clearer ur question plz!

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3Use 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
 one year ago
Best ResponseYou've already chosen the best response.3Also, I think you means to use pi = 22/7, not that the radius is 22/7.

shamim
 one year ago
Best ResponseYou've already chosen the best response.0I think volume of a cylinder=pi*r^2*h @mathstudent55

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3LOL. I've been online too long. Yes, of course you're right. My formula above is for a cone.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3\(\Large V_{cylinder} = \pi r^2h\)

VanillaAngelic
 one year ago
Best ResponseYou've already chosen the best response.0Mind if you explain how do it step by step? Thanks. I really don't understand.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3Ok. 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?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3dw:1437007341591:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3A 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.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3dw:1437007540372:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3As you can see from the circle on the right side, a radius is half the length of a diameter.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3Now we can back to our problem above.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3\(\Large V_{cylinder} = \pi r^2 h\) 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
 one year ago
Best ResponseYou've already chosen the best response.3Now we need to calculate the expression above. \(V = 1178.6~in.^3\)

VanillaAngelic
 one year ago
Best ResponseYou've already chosen the best response.0Thank you very much!
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