Consider the volume of the region shown below, which shows a
hemisphere of radius 3 mm and a slice of the hemisphere with width
Dy = \Delta y .

Write a Riemann sum for the volume, using the slice shown:

Riemann sum

Now write an integral that gives this volume

where

Finally, calculate the exact volume of the region, using your integral

volume =

(include units)

You can earn partial credit on this problem.