To determine the number of trout in a lake, a conservationist catches 180 trout, tags them and throws them back into the lake. later, 48 trout are caught; 12 of them are tagged. how many trout would the conservationist expect to be in the lake?

The ratio of the trout with tags that are caught and the total trout with tags is first calculated.

     r = 12 trout / 180 trout = 1/15

Then, we divide the number of trouts caught without tag by the value obtained above.

     N = (48 - 12) / (1/15) = 540

Then, we add the number obtained above and 180.
     T = 540 + 180 = 720

ANSWER: 720

The formula for cylinder of pi is v = π r ^ 2 h.

So you are going to do pi x 6^2 x 12 = 1357.168026350791 then divide 1357.168026350791 by pi and you get C. 432 pi in.^2

Also here is a link to a calculator that can really help with problems like this.
https://www.eeweb.com/tools/calculator

Hope this Helps!!