3D OBJECT ROTATIONModule 11 Lesson 2

PICTURE IT…

• With this lesson make sure you can visualize what the question is asking. Draw a picture or search images on the Internet

THE TOUGH QUESTION

• The following is the most missed question in M11 L2. The content is the same but the number is changed.

• A square with an area of 100cm^2 is rotated to form a cylinder. Find the volume.

• Hint: Visualize it.

SEE IF THE PICTURE HELPS

• Here is what the word problem is talking about.

The dotted line is the line of rotation, the square is goingto rotate aroundits side.

The square creates a cylinder that has the radius equal to the length of one side of the square and the height of the cylinder is equal to one side of the square

HOW TO SOLVE IT

• Since the area of the square is 100cm^2, that means each side of the square is 10

• According to the picture, the radius of the cylinder is 10 and the height of the cylinder is 10.

• V=Ah (capital A means area of the base)

• V=

• V= (10^2)(10)

• V=3142cm^3