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Unofficialllyy

  • one year ago

Could someone check if I am on the right track? WILL FAN AND MEDAL!

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  1. Unofficialllyy
    • one year ago
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    The holding tanks are congruent in size, and both are in the shape of a cylinder that has been cut in half vertically. The bottom of the tank is a curved surface. What is the volume of both tanks if the radius of tank #1 is 15 feet and the height of tank #2 is 120 feet? You must explain your answer using words, and you must show all work and calculations to receive credit. So I know I have to use the formula for the volume of a cylinder which is \[V=\Pi r^2h\] Since it's given that the radius is 15 and the height is 120, I plugged them into the formula. \[V=\Pi (15)^2(120)\] Is this right so far?

  2. Unofficialllyy
    • one year ago
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    @campbell_st

  3. campbell_st
    • one year ago
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    its makes sense to me... the congruent tanks form a cylinder, radius 15 and height 120

  4. Unofficialllyy
    • one year ago
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    Then I do 15^2 which is 225. Then I multiply 225 and 120 to get 2700. Then I multiply pi and 2700 to get 2700pi, or in decimal form 8482.30016469

  5. Unofficialllyy
    • one year ago
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    But it says it is cut in half vertically, so do I divide by 2?

  6. Unofficialllyy
    • one year ago
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    @campbell_st

  7. campbell_st
    • one year ago
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    well I read the question as the tanks are congruent halves... |dw:1437263162103:dw|

  8. Unofficialllyy
    • one year ago
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    But I am finding the volume of the whole cylinder first, and then dividing by 2.

  9. Unofficialllyy
    • one year ago
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    I should get the same answer, right?

  10. campbell_st
    • one year ago
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    well the way I read it, the 2 tanks make the whole... sorry I can't help much more that that... so I'd expect that the volume is \[V = \pi \times 15^2 \times 120\]

  11. Unofficialllyy
    • one year ago
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    Okay thank you

  12. Unofficialllyy
    • one year ago
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    @jim_thompson5910 could you see if you could help too?

  13. campbell_st
    • one year ago
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    the question asks for the volume of 1 tank so you could find the volume of the whole, divide it by 2.... and say that tank has a volume = x, since tank 2 is congruent, the combined volume is V = 2x

  14. Unofficialllyy
    • one year ago
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    Right. So my final answer after dividing by 2 is 4241.15008234

  15. Unofficialllyy
    • one year ago
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    Then I have to round to the nearest whole number

  16. Unofficialllyy
    • one year ago
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    Wait nevermind I don't have to round.

  17. campbell_st
    • one year ago
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    so reading the question again, the 2 tanks are like feeding troughs |dw:1437263554473:dw|

  18. Unofficialllyy
    • one year ago
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    I feel like i have the right answer, i just want to make sure lol :)

  19. Unofficialllyy
    • one year ago
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    but then it says what is the volume of BOTH tanks

  20. Unofficialllyy
    • one year ago
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    so do i even need to divide by 2?

  21. jim_thompson5910
    • one year ago
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    V = pi*r^2*h V = pi*15^2*120 V = 27,000pi exact volume of the two tanks put together, to form one complete cylinder, is 27000pi

  22. jim_thompson5910
    • one year ago
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    there's no need to divide by 2. Imagine gluing them together to form one cylinder

  23. Unofficialllyy
    • one year ago
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    so my answer would be 8482.30016469

  24. Unofficialllyy
    • one year ago
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    wait no hang on

  25. Unofficialllyy
    • one year ago
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    V=84823.00164692

  26. Unofficialllyy
    • one year ago
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    I was doing 2700 not 27000

  27. jim_thompson5910
    • one year ago
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    yeah you were missing a 0

  28. Unofficialllyy
    • one year ago
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    Thank you :)

  29. jim_thompson5910
    • one year ago
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    no problem

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