Connect-A-Habitat sells habitats for small pets such as gerbils, hamsters, and mice. The habitats are put together from four types of
play areas and three types of tubes, shown in the table. To build a set,
you select any four play areas and any four tubes and connect them as
shown in the diagram. Sets include flexible connectors that allow you
to connect any play area to any tube.
Play Areas Tubes
A B C
X Y Z
D
10 in.
9 in.
12 in.
10 in.
circumference = 32 in.
13 in.
12 in.
14 in. 14 in.
2 in.
16 in.
5 in.
16 in.
2.5 in.
16 in.
1. What is the volume of each play area? Show your work.
a. play area A
b. play area B