Question

let r(x) be the radius of a round pipe that drains water from a dam, where x is measured in feet from the dam. Which choice best explains the meaning of pi integral 10000-30000 (r(x))^2 dx

Answer 1

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Answer 2

I'm not totally sure what you are asking here.
And is the interal
\[\int\limits_{10000}^{30000}(r(x))^2 dx\]

Answer 3

yes

Answer 4

Ok, you said choice? So that means multiple choice? I am not sure what you are asking here. You can't integrate r(x).

Answer 5

the choices are
A. The amount of water in square feet that the pipe can hold in the section from 10000 to 30000 feet from the dam.
B. The amount of water in cubic feet that the pipe can hold in the section from 10000 to 30000 feet from the dam
C. The amount of water in cubic feet flowing through the pipe from 10000 to 30000 feet
D. The amount of water in cubic feet in any 20000-foot section of the pipe
E. The rate of which water flows through the pipe in the section that is 10000 to 30000 feet from the dam

Answer 6

Hmmm.....

Answer 7

I would hazard a guess and say B. It makes the most sense. And upon integrating, the ^2 should go to ^3, which is used for volume.

Answer 8

That was my initial guess but I wasn't sure. Thank you!