Question

Is this correct?

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis.
xy = 7, x = 0, y = 7, y = 9

A: \(\huge\int\limits_7^9 (2 \pi)(y)(\frac{y}{7}) dy = \frac{772 \pi}{21}\)