Rotations on Grids - Solids of Revolution Practice Terms of Use    Contact Person: Donna Roberts
Directions: Read carefully and choose the best answer.

1.
If the triangle shown at the right is rotated about the y-axis, what 3-D solid will be formed?

Choose:
 right, circular cylinder right, circular cone right, oval cylinder right, oval cone

2.
What is the volume of the 3-D solid formed when the triangle shown at the right is rotated about the y-axis?

Choose:
 16π cubic units 32π cubic units 48π cubic units 96π cubic units

3.
What is the volume of the 3-D solid formed when the rectangle shown at the right is rotated about the x-axis?

Choose:

 30π cubic units 32π cubic units 34π cubic units 104π cubic units

4.
What is the volume of the 3-D solid formed when the two triangular shapes at the right are revolved about the x-axis?

Choose:

 24π cubic units 72π cubic units 88π cubic units

5.
What is the volume of the 3-D solid formed by rotating the triangle shown at the right about the y-axis?

Choose:

 80π cubic units 160π cubic units

6.
A segment of the line f (x) = x, as shown at the right, is to be rotated about the x-axis. What is the volume of the carrying capacity of the 3-D figure created by this revolution, to the nearest cubic unit?

Choose:

 17 cubic units 21 cubic units 42 cubic units 67 cubic units

7.
The grid at the right shows two semicircles enclosing a surface. When this figure is revolved about the y-axis, what will be the volume of the solid generated?
Choose:

8.
The 2-D figure at the right is a right triangle with a quarter circle removed. Find the volume of the solid formed when this shape is revolved about the y-axis?
Choose:
 18π cubic units 43π cubic units

9.
The 2-D figure shown at the right is revolved about the y-axis. Find the volume of the solid formed by this rotation, in cubic units.

Choose:

 50π cubic units 59π cubic units 68π cubic units 77π cubic units

10.
The 2-D figure shown at the right is a trapezoid. Find the volume of the solid formed when this figure is revolved about the y-axis.

Choose:

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