Mathematics

Problem

The region bounded by the line

y=3-\dfrac{x}{2}

, the

x

-axis, and the

y

-axis for

0\le x\le 6

is revolved about two different horizontal lines. • Axis 1:

y=-3

• Axis 2:

y=6

Compute the ratio

\dfrac{V_{1}}{V_{2}}

of the volumes generated about Axis 1 and Axis 2.