Math A

Working with
Volume of Solids

 

Answer the following questions dealing with 
the volume of solids.

Answers use = 3.141592654, the full calculator entry on the TI-83+.

1.

Soda is sold in aluminum cans that measure 6 inches in height and 2 inches in diameter.  How many cubic inches of  soda are contained in a full can?
(Round answer to the nearest tenth of a cubic inch.)

Choose:

12.0
18.8
 24.0
 75.4 

 

 

 

2. A pharmacist is filling medicine capsules.  The capsules are cylinders with half spheres on each end.  If the length of the cylinder is 12 mm and the radius is 2 mm, how many cubic mm of medication can one capsule hold?  (Round answer to the nearest tenth of a cubic mm.)

Choose:

 32.7
150.7 
184.3
202.6 

 

 

 

3.

 

Find the volume in
cubic feet.

Choose:

1575
4050
5625
6225

 

 

4.

Pine bark mulch 6 inches deep is to be spread in each of the beds shown above.  Mulch is sold by the cubic yard.  To the nearest cubic yard, how much mulch will need to be purchased.

Choose:

5
7
16
27

 

 

5.

Ed works for an environmental protection agency which deals with land areas that have been contaminated by toxic waste.  The contaminated 

 

 

 

 

 

 

Choose:
a.

1600.0 
3920.4
7840.8
 10890 

b.
1600.0 
3920.4
7840.8
10890 

c.
160 
392
393
784 

soil covers an area of 1.62 acres.  Ed must remove the top 18 inches of soil in this area.

1 acre = 43,560 square feet
1 square yard = 9 square feet

a.  What is the area of contaminated soil in square yards?

b.  What is the total volume of the contaminated soil in cubic yards?

 

c.  If each truck can haul 10 cubic yards of soil, how many full truckloads of contaminated soil will Ed be removing?

 

 

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Roberts