Basic Mathematics for College Students

806 Chapter 9 An Introduction to Geometry

We can use a scientific calculator to make this calculation.

10 50 2 10 3 3

The volume of the silo is approximately 17,802 ft^3.

17802.35837

p  x^2   (  p  yx )  

© iStockphoto.com/R. Sherwood Veith

1.1,000,000 cm^3 2.1,920 m^3 3.300 in.^3 4.640 cm^3 5.

6.^203 p mi^3 20.94 mi^3 7.1,372 3 p m^3 1,436.8 m^3

100 p yd^3 314.16 yd^3

ANSWERS TO SELF CHECKS

VOCABULARY

Fill in the blanks.

1. The of a three-dimensional figure is a
   measure of its capacity.


2. The volume of a figure can be thought of as the
   number of units that will fit within its
   boundaries.
   Give the name of each figure.


3. 
   
   
   
   4. 
      
   
   
   
   


4. 
   
   
   
   6. 
      
   
   
   
   


5. 
   
   
   
   8. 
      
   
   
   
   

CONCEPTS

9. Draw a cube. Label a side.


10. Draw a cylinder. Label the height and radius.


11. Draw a pyramid. Label the height and the base.


12. Draw a cone. Label the height and radius.


13. Draw a sphere. Label the radius.


14. Draw a rectangular solid. Label the length , the
    width , and the height.


15. Which of the following are acceptable units with
    which to measure volume?
    ft^2 mi^3 seconds days
    cubic inches mm square yards in.
    pounds cm^2 meters m^3


16. In the figure on the right,
    the unit of measurement of
    length used to draw the
    figure is the inch.
    a. What is the area of the
    base of the figure?
    b. What is the volume of the figure?

w h

l

r

h r

h

h r

s

SECTION 9.9 STUDY SET