30 in.- REFRIGERATORS The largest refrigerator
advertised in a JC Penny catalog has a capacity of
25.2 cubic feet. How many cubic inches is this? - TANKS A cylindrical oil tank has a diameter of
6 feet and a length of 7 feet. Find the volume of the
tank. - DESSERTS A restaurant serves pudding in a
conical dish that has a diameter of 3 inches. If the
dish is 4 inches deep, how many cubic inches of
pudding are in each dish? - HOT-AIR BALLOONS The lifting power of a
spherical balloon depends on its volume. How many
cubic feet of gas will a balloon hold if it is 40 feet in
diameter? - CEREAL BOXES A box of cereal measures
3 inches by 8 inches by 10 inches. The manufacturer
plans to market a smaller box that measures by
7 by 8 inches. By how much will the volume be
reduced? - ENGINES The compression ratioof an engine is the
volume in one cylinder with the piston at bottom-
dead-center (B.D.C.), divided by the volume with the
piston at top-dead-center (T.D.C.). From the data
given in the following figure, what is the compression
ratio of the engine? Use a colon to express your
answer. - GEOGRAPHY Earth is not a perfect sphere but is
slightly pear-shaped. To estimate its volume, we will
assume that it is spherical, with a diameter of about
7,926 miles. What is its volume, to the nearest one
billion cubic miles? - BIRDBATHS
a. The bowl of the birdbath
shown on the right is in the
shape of a hemisphere (half
of a sphere). Find its volume.
b. If 1 gallon of water occupies
231 cubic inches of space, how
many gallons of water does
the birdbath hold? Round to
the nearest tenth.Volume before
compression: 30.4 in.^3Volume after
compression: 3.8 in.^3
T.D.C.B.D.C.2 12
- CONCRETE BLOCKS Find the number of cubic
inches of concrete used to make the hollow, cube-
shaped, block shown below.
WRITING
- What is meant by the volumeof a cube?
- The stack of index cards shown in figure (a)
forms a right rectangular prism, with a certain
volume. If the stack is pushed to lean to the right, as
in figure (b), a new prism is formed. How will its
volume compare to the volume of the right
rectangular prism? Explain your answer. - Are the units used to measure area different from the
units used to measure volume? Explain. - The dimensions (length, width, and height) of one
rectangular solid are entirely different numbers from
the dimensions of another rectangular solid. Would it
be possible for the rectangular solids to have the
same volume? Explain.
REVIEW- Evaluate:5(5 2)^2 3
- BUYING PENCILS Carlos bought 6 pencils at $0.60
each and a notebook for $1.25. He gave the clerk a
$5 bill. How much change did he receive? - Solve:x 4
- 38 is what percent of 40?
- Express the phrase “3 inches to 15 inches” as a ratio
in simplest form. - Convert 40 ounces to pounds.
- Convert 2.4 meters to millimeters.
- State the Pythagorean equation.
(a) (b)3 5
8 in. 8 in.8 in.5 in. 5 in.810 Chapter 9 An Introduction to Geometry