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McGraw Hill Integrated II, 2012 View details

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Exercise 13 Page 872

Draw a cylinder.

The cross section of the cake is a rectangle.

Practice makes perfect

The cake can be modeled by the following cylinder.

We cut it in half vertically and get the following figure.

Notice that AB and CD are diameters of the circles in the bases. Therefore, they are parallel and congruent. Furthermore, BC and AD are the height of the cylinder. This tells us that BC and AD are also parallel and congruent. Thus, ABCD is a parallelogram. Since AD⊥ AB, we can conclude that the cross section is a rectangle.

Subchapter links

1 Representations of Three-Dimensional Figures p.872

2 Surface Areas of Prisms and Cylinders p.872

3 Surface Areas of Pyramids and Cones p.872

4 Volumes of Prisms and Cylinders p.873

5 Volumes of Pyramids and Cones p.873

6 Surface Areas and Volumes of Spheres p.873

7 Spherical Geometry p.874

8 Congruent and Similar Solids p.874

Exercise 13 Page 872

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