Find T in terms of K, Q, and S if S = 2r\(\sqrt{\pi(QT + K)}\)
A
\(\frac{S^2}{2 \pi r^2Q} - \frac{k}{Q}\)
B
\(\frac{S^2}{2 \pi r^2Q}\) - k
C
\(\frac{S^2}{4 \pi r^2Q} - \frac{k}{Q}\)
D
\(\frac{s^2}{4 \pi r^2Q}\)
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
\(\frac{s^2}{4r^2}\) = \(\pi\)(QT + K)
\(\frac{s^2}{4r^2}\) - k\(\pi\) = QT\(\pi\)
T = \(\frac{s^2}{4Q\pi r^2}\) - \(\frac{k}{Q}\)
Source: Myschool Past Questions Archive (Record #30903)