Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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The diameter of circle A is 2.3 units. Find the circumference of the
circle.  a. |  units | c. | 
units | b. |  units | d. | 
units |
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2.
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The radius of circle A is 6.8 units. Find the circumference of the
circle.  a. |  units | c. | 
units | b. |  units | d. | 
units |
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3.
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Find the arc length of a sector with a radius of 8 feet and a central angle of
54°.
a. | 432p feet | c. |  p feet | b. |  p feet | d. |  p feet |
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4.
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The minute hand on a tower’s clock is 9.25 feet long. To the nearest tenth
of a foot, how far does the tip of the minute hand travel in 148 minutes?
a. | 143.4 feet | c. | 13.6 feet | b. | 27.1 feet | d. | 71.7 feet |
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5.
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A county has a population density of 55 people per square mile. The county
population is 4177. What is the area of this county? Round to the nearest square mile if
necessary.
a. | 12,635,425 mi2 | c. | 229,735
mi2 | b. | 138.1 mi2 | d. | 75.9 mi2 |
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6.
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Find the area of the kite.  a. | 33 square units | c. | 16.5 square units | b. | 66 square units | d. | 43 square units |
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7.
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What is the area of the regular polygon?  a. | 8.6 square units | c. | 43.01 square units | b. | 21.51 square units | d. | Not enough information
given |
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8.
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What is the shape of the cross section created by a plane passing through points
H, C, and F?  a. | a rhombus | b. | an isosceles triangle | c. | a right
triangle | d. | a rectangle |
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9.
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Which is the best description of the cross section formed by the plane
GHST?  a. | rectangle | b. | isosceles trapezoid | c. | rhombus | d. | parallelogram |
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10.
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Which solid of revolution is produced by rotating the shape below  about the given axis? 
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11.
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Which solid of revolution is produced by rotating the shape below  about the given axis? 
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12.
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Find the volume of the solid generated by rotating the figure around the given
axis. If necessary, use 3.14 for p and round your answer to the nearest
hundredth.  a. | 50.24 cubic units | c. | 48 cubic units | b. | 150.72 cubic units | d. | 37.68 cubic
units |
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13.
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Find the volume of the solid generated by rotating the figure around the given
axis. If necessary, use 3.14 for p and round your answer to the nearest
hundredth.  a. | 100 cubic units | c. | 62.8 cubic units | b. | 314 cubic units | d. | 157 cubic units |
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14.
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Find the volume of a cylinder with a base area of 81   and height equal to the radius. Give your answer both in terms of 
and rounded to the nearest tenth.
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15.
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Find the volume of a rectangular pyramid with length 14 m, width 9 m, and height
8 m. Round to the nearest tenth, if necessary.
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16.
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Find the volume of a cone with a base circumference of 23 
in. and a height 6 in. less than twice the radius. Give your answer both in terms of 
and rounded to the nearest tenth. a. | 2,248.3p in 3 »
7,063.1 in3 | c. | 27.5p in 3 » 86.5 in3 | b. | 749.4p in
3 » 2,354.4 in3 | d. | 1,278.4p in
3 » 4,016.3 in3 |
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17.
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Find the volume of a sphere with diameter  ft. Give
your answer in terms of  . a. |  
ft3 | c. |  
ft3 | b. | 7,776 ft3 | d. | 3,888
ft3 |
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18.
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Find the surface area of a sphere with volume 972 
m 3. Give your answer in terms of  . a. | 9 m2 | c. | 324
m2 | b. | 324 m2 | d. | 2916 m2 |
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Short Answer
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19.
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Find the area of the shaded region. 
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20.
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The pyramid has a height of 16 units. Find the volume. (The figure may not be
drawn to scale.) 
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Essay
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21.
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Cylinder B has dimensions one-half those of Cylinder A. (The figures may not be
drawn to scale.)  |  | | Cylinder A | Cylinder B | | |
Part A: What are the dimensions of Cylinder
B? Part B: What are the volumes of Cylinder A and Cylinder B? Give each answer in
terms  Part C: What is the
relationship between the volumes of Cylinder A and Cylinder B? Explain your answer.
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22.
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A concrete connector for a city sewer system is shaped like a rectangular box
with a width of 12 meters, a length of 16 meters, and height of 13 meters. The connector hole has a
diameter of 2 meters. Part A: If sewage passes through the connector hole so that
half of the volume contains sewage, how much sewage, in cubic meters, fills the hole? Explain. Use
3.14 as an approximation  Part B: If the connector was
formed using concrete that costs $2.20 per cubic meter, what was the total cost of the concrete
needed to create the connector? Justify your answer mathematically. Use 3.14 as an approximation 
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