A cylinder is sliced by a plane to form the solid
shown. The base edge of the solid is a circle
of radius 3. The top edge is an ellipse. The
highest point on the ellipse is 6 units above the
base. The lowest point on the ellipse is 2 units
above the base. What is the volume, in cubic
units, of the solid?  Answers.
A) 24π B) 30π C) 36π D) 42π E) 48π
The plane parallel to the base passing through the center of the ellipse will cross the ellipse   along its minor axis. If we cut the solid along this plane and flip the top piece that is sliced off 180   degrees around the minor axis, the solid becomes a cylinder with the base of area 9 and height     (2 + 6)/2= 
<gadget id="calculator">  (2 + 6)/2</gadget>
<output>4</output>
4. The volume is therefore 36π.   correct answer 36π
<result>C</result>
A cylinder is sliced by a plane to form the solid
shown. The base edge of the solid is a circle
of radius 3. The top edge is an ellipse. The
highest point on the ellipse is 6 units above the
base. The lowest point on the ellipse is 2 units
above the base. What is the volume, in cubic
units, of the solid?