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

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Unofficialllyy
 one year ago
Best ResponseYou've already chosen the best response.1The 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?

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0its makes sense to me... the congruent tanks form a cylinder, radius 15 and height 120

Unofficialllyy
 one year ago
Best ResponseYou've already chosen the best response.1Then 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

Unofficialllyy
 one year ago
Best ResponseYou've already chosen the best response.1But it says it is cut in half vertically, so do I divide by 2?

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0well I read the question as the tanks are congruent halves... dw:1437263162103:dw

Unofficialllyy
 one year ago
Best ResponseYou've already chosen the best response.1But I am finding the volume of the whole cylinder first, and then dividing by 2.

Unofficialllyy
 one year ago
Best ResponseYou've already chosen the best response.1I should get the same answer, right?

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0well 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 \[V = \pi \times 15^2 \times 120\]

Unofficialllyy
 one year ago
Best ResponseYou've already chosen the best response.1@jim_thompson5910 could you see if you could help too?

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0the 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

Unofficialllyy
 one year ago
Best ResponseYou've already chosen the best response.1Right. So my final answer after dividing by 2 is 4241.15008234

Unofficialllyy
 one year ago
Best ResponseYou've already chosen the best response.1Then I have to round to the nearest whole number

Unofficialllyy
 one year ago
Best ResponseYou've already chosen the best response.1Wait nevermind I don't have to round.

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0so reading the question again, the 2 tanks are like feeding troughs dw:1437263554473:dw

Unofficialllyy
 one year ago
Best ResponseYou've already chosen the best response.1I feel like i have the right answer, i just want to make sure lol :)

Unofficialllyy
 one year ago
Best ResponseYou've already chosen the best response.1but then it says what is the volume of BOTH tanks

Unofficialllyy
 one year ago
Best ResponseYou've already chosen the best response.1so do i even need to divide by 2?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1V = 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

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1there's no need to divide by 2. Imagine gluing them together to form one cylinder

Unofficialllyy
 one year ago
Best ResponseYou've already chosen the best response.1so my answer would be 8482.30016469

Unofficialllyy
 one year ago
Best ResponseYou've already chosen the best response.1wait no hang on

Unofficialllyy
 one year ago
Best ResponseYou've already chosen the best response.1V=84823.00164692

Unofficialllyy
 one year ago
Best ResponseYou've already chosen the best response.1I was doing 2700 not 27000

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yeah you were missing a 0
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