anonymous
  • anonymous
The diameter of a tennis ball is about 7 cm. How much metal is needed to make a can to hold three tennis balls? Include the top and bottom of the can. Round to the nearest square centimeter.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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mathteacher1729
  • mathteacher1729
The three tennis balls will be staked up like this: O O O So how do you find the HEIGHT of the can? (if you are given only the DIAMETER of one ball?)
anonymous
  • anonymous
pir^2h
anonymous
  • anonymous
I don't really understand what to do...

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anonymous
  • anonymous
|dw:1333301279078:dw|
anonymous
  • anonymous
38.48=h
anonymous
  • anonymous
no that's not right..
mathteacher1729
  • mathteacher1729
The diagram is a good start. Each ball has diameter = 7 cm. So three of them stacked end to end is 3 * 7 = 21 cm. That's the height of the can. The diameter of the can is just the diameter of one ball = 7 cm. Now if you know the HEIGHT of the can (21cm) and the RADIUS of the can (7cm), how can you find the SURFACE AREA of the can? (note: the formula you wrote above was for the VOLUME of the can and that's not what we're looking for).
anonymous
  • anonymous
oh ok the SA is...Ph
anonymous
  • anonymous
but, how did you know to multiply 7 * 3 for the height? did you use a certain formula?
mathteacher1729
  • mathteacher1729
There is no formula. It comes right from the picture. :) O | 7cm O | 7cm O | 7cm add that up and it's 21 cm. :)
anonymous
  • anonymous
oh ok :
anonymous
  • anonymous
Do you mean the diameter of the can is 7? you said radius up above..
mathteacher1729
  • mathteacher1729
Now all you need is the formula for the surface area of a cylinder and you're set. :)
anonymous
  • anonymous
ok, so I dont' have to find the SA of the spheres then?
mathteacher1729
  • mathteacher1729
Sorry. CAN Height = 7*2 = 21 cm Diameter = 7cm
anonymous
  • anonymous
No prob! so.. SA=Ph
mathteacher1729
  • mathteacher1729
The problem asks for: How much metal is needed to make a CAN to hold three tennis balls?
anonymous
  • anonymous
ohh! LA + 2B
Directrix
  • Directrix
The can is a right circular cylinder with height 21 and a base radius of 7/2. TA = LA + 2B where B is the area of the circular base. TA = 2 pi r h + 2 B TA = 2 pi (7/2) (21) + 2 pi (7/2)^2 TA = 147 pi + 2 pi (49/4) TA = 147 pi + 49/2 pi TA = ( 343 pi) / 2 TA = 538.78 approx = 539 cm (to the nearest cm)
anonymous
  • anonymous
I think you did circumference... 2pir
anonymous
  • anonymous
I forgot what to do with lateral area.. I know its without the bases but just forgot how to use it.
Directrix
  • Directrix
Area of a circle formula --> pi * r^2 The area of one base of the can is pi (7/2)^2. There are two bases; hence, two times the area of one base is 2 pi (7/2)^2. That is the area of the two bases. Lateral area of the cylinder can be found by multiplying the perimeter of the base ( 2 pi r) times the height of the can. I think my work is correct. Check the computations and post here what you think.
anonymous
  • anonymous
That make sense.. I'll just have to review it some more! Thanks for all your help!!!

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