1. Module 4

1.24. Page 2

Mathematics 10-3 Module 4 Lesson 5

Module 4: Area

 

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In the following Try This activity you will examine the shapes and sizes of cylinders and cones. Investigate cones with the “Cone” demonstration applet. Drag the apex and the movable point on the circular base to examine possible shapes of a cone. Also rotate the cone to see the cone from various perspectives.

 

apex: the point furthest from a base in a cone


 

Now study cylinders with the “Cylinder” demonstration applet. Drag the movable points to change the radius and height of the cylinder. You will see that a cylinder can vary from the shape of a rod to the shape of a pancake. Also drag any point outside the cylinder to rotate the cylinder so that you can look at each base.

 

cone: a three-dimensional object made up of a flat circular base and an attached curved surface that comes to a point called the apex

 

cylinder: a three-dimensional object that has two congruent circular bases attached by a curved surface

m10_3_trythis.jpg Try This

 

TT 1. Can you identify the cones and cylinders in “Classifying Cones and Cylinders”? Drag and drop each shape into the correct column.

 

You should now be able to tell the cylinder and cone apart. One intriguing, but only superficial, aspect of these objects is their surface area. The surface area of the cylinder and cone is found by examining the surfaces making up the object’s exterior.