Homework # 6 - Math 1150
The problems on this homework must be done alone. The honor code is in effect.
You may submit the solutions twice, if you wish.
First Name: Last Name:
1. Find the volume of the solid obtained when you revolve the region enclosed between the curves \( y = x^2\) and \(y = 4\) around the \(x\)-axis.
a. \(\frac{256\pi}{5} \)
b. \(\frac{128\pi}{5}\)
c. \(\pi (16 - \frac{1}{5})\)
d. \(\pi (16 - \frac{1}{3})\)
e. \( \pi (16 - \frac{1}{7})\)