Unofficialllyy
  • Unofficialllyy
Could someone check if I am on the right track? WILL FAN AND MEDAL!
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Unofficialllyy
  • Unofficialllyy
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?
Unofficialllyy
  • Unofficialllyy
@campbell_st
campbell_st
  • campbell_st
its makes sense to me... the congruent tanks form a cylinder, radius 15 and height 120

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

Unofficialllyy
  • Unofficialllyy
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
Unofficialllyy
  • Unofficialllyy
But it says it is cut in half vertically, so do I divide by 2?
Unofficialllyy
  • Unofficialllyy
@campbell_st
campbell_st
  • campbell_st
well I read the question as the tanks are congruent halves... |dw:1437263162103:dw|
Unofficialllyy
  • Unofficialllyy
But I am finding the volume of the whole cylinder first, and then dividing by 2.
Unofficialllyy
  • Unofficialllyy
I should get the same answer, right?
campbell_st
  • campbell_st
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 \[V = \pi \times 15^2 \times 120\]
Unofficialllyy
  • Unofficialllyy
Okay thank you
Unofficialllyy
  • Unofficialllyy
@jim_thompson5910 could you see if you could help too?
campbell_st
  • campbell_st
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
Unofficialllyy
  • Unofficialllyy
Right. So my final answer after dividing by 2 is 4241.15008234
Unofficialllyy
  • Unofficialllyy
Then I have to round to the nearest whole number
Unofficialllyy
  • Unofficialllyy
Wait nevermind I don't have to round.
campbell_st
  • campbell_st
so reading the question again, the 2 tanks are like feeding troughs |dw:1437263554473:dw|
Unofficialllyy
  • Unofficialllyy
I feel like i have the right answer, i just want to make sure lol :)
Unofficialllyy
  • Unofficialllyy
but then it says what is the volume of BOTH tanks
Unofficialllyy
  • Unofficialllyy
so do i even need to divide by 2?
jim_thompson5910
  • jim_thompson5910
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
jim_thompson5910
  • jim_thompson5910
there's no need to divide by 2. Imagine gluing them together to form one cylinder
Unofficialllyy
  • Unofficialllyy
so my answer would be 8482.30016469
Unofficialllyy
  • Unofficialllyy
wait no hang on
Unofficialllyy
  • Unofficialllyy
V=84823.00164692
Unofficialllyy
  • Unofficialllyy
I was doing 2700 not 27000
jim_thompson5910
  • jim_thompson5910
yeah you were missing a 0
Unofficialllyy
  • Unofficialllyy
Thank you :)
jim_thompson5910
  • jim_thompson5910
no problem

Looking for something else?

Not the answer you are looking for? Search for more explanations.