 Rotations - Solids of Revolution Practice Terms of Use    Contact Person: Donna Roberts  1.
What 3-D solid is formed when this rectangle is rotated about the vertical line, as shown at the right? Choose:
 right, rectangular prism right, circular cylinder right, oval cylinder right, square prism

2.
Which 2-D shape could be revolved about the vertical line to create the 3-D solid shown at the right? Choose:    3.
Which 3-D solid is created when the rectangle shown at the right is rotated about the horizontal line? Choose:    4.
Which 2-D shape could be revolved about the vertical line to create the 3-D vase shown at the right?
Assume the vase is open at the top and closed at the bottom. Choose:    5.
A 3-D solid is formed by rotating the rectangle shown at the right about the vertical line. The dimensions of the rectangle are stated in inches. What is the volume of the solid formed by this rotation, in cubic inches? Choose:

 45 in3 45π in3 90 in3 90π in3

6.
A rectangle and a right triangle, as shown at the right, are rotated about the vertical line. What is the volume of the solid formed by this rotation? Choose:

 18 cubic units 24 + 16π cubic units 40π cubic units 52π cubic units

7.
The figure shown at the right was the result of a 2-D figure revolved about a line.
Which of the following figures, when rotated about the line, could NOT produce this 3-D shape? Choose:    8.
The 2-D figure at the right is to be revolved about the vertical line. Which of the following descriptions best describes the 3-D solid formed by the rotation? Choose:
 Nail Pencil Water Glass Gun

9.
The right triangle shown at the right is revolved about its hypotenuse. Find the volume of the solid formed by this rotation, in cubic units.
Hint: Find the altitude of the triangle drawn to the hypotenuse using the area of the triangle. Choose:
 76.8 π 72.6 π 40.8 π 19.1898 π

 10. Given: the 2-D figure at the right is a rectangle, and line a is perpendicular to line b.   Which of the following statements are true regarding this diagram? (Check all that apply, and hit SUBMIT!) When the rectangle is revolved about line b, a solid cylinder is formed. When the rectangle is revolved about line a, a rectangular prism is formed. The volume of the solid formed when the rectangle is rotated about line a is 72π cubic units. The volume of the solid formed when the rectangle is rotated about line a will equal the volume of the solid formed when the rectangle is rotated about line b. 