Geometry Chapter 11 Review
1. A Ferris wheel has 18 seats. Passengers are let off one seat at a time, and then the wheel revolves until
the next seat is on the platform. Each time a passenger is let off, each seat moves 20 and has an arc
length of 10.5 feet. How far does each seat travel to make a complete revolution around the Ferris
wheel?
2. A 20-inch diameter bicycle tire rotates 200 times. How many feet does the bicycle travel? Round your
answer to the nearest foot.
3. A central angle of 62 intercepts an arc length of 90 units. What is the radius of the circle? Round your
answer to the nearest hundredth.
4. A circle has a radius of 4 units. Find the measure of the central angle to the nearest tenth of a degree
that intercepts an arc length of 5.8 units?
Convert degrees to radians and radians to degrees.
5.  45
6.
3
5
7. 260
Find the area of the shaded region.
8.
11.
9.
10. All 3 angles are congruent
12.
13.
Find the area of the kite or rhombus.
14.
15.
16.
17. The area of a kite is 60 square meters. The length of one diagonal is 20 meters. What is the length of
the other diagonal?
18. The area of a rhombus is 96 square inches. The length of a side is 10 inches and one of the diagonals
measures 16 inches. What is the length of the other diagonal?
Find the area of the regular polygon.
19.
20.
21.
Find the area of the shaded region.
22.
23.
24.
Find the volume.
25.
26.
Find the missing measure.
27. Volume  120 ft 3
28. Volume  254.5 m3
29. The figures are similar. Find the volume of Prism B.
30. A pyramid with a hexagonal base has a volume of about 1082.54 cubic inches and a base area of about
259.81 square inches. Find the height of the pyramid.
Find the surface area and volume.
31.
32.
33. Your friend wants to donate clothes to a local shelter. He needs to choose the box that will hold the
most clothes. Which box should he select? Explain your reasoning.
34. The Pyramid Arena was originally built as a 20,142 seat arena in downtown Memphis on the banks of
the Mississippi River. It is 321 feet tall and has a square base with sides of 591 feet. Find the volume of
this structure.
35. How much ice cream can the sugar cone hold if you only fill the inside? Round your answer to the
nearest cubic millimeter.
36. What is the surface area of the sugar cone? Round your answer to the nearest square millimeter.
(Hint: The top of the cone is open and not included in the surface area.)
37. An aquarium shaped like a rectangular prism has a length of 24 inches, a width of 12 inches, and
a height of 18 inches. You fill the aquarium half full with water. When you submerge a rock in the
aquarium, the water level rises 0.5 inch. Find the volume of the rock.
Geo Ch 11 Review Answers
1. 189 ft
2. 1047 ft
4. 83.1
5. 
7.
13
9

4
3. 83.17 units
6. 108
8. 15.7 cm2
9. about 31.42 ft 2
10. about 3.27 ft 2
11. about 32.99 in2
12. about 1099.56 m2
13. about 21.46 cm2
14.
15. 50 m2
16. 160 cm2
17. 6 m
19. 1920 square units
20. about 209.6 square units
21. 1602.3 square units
22. 27.5 un2
23. 554.4 un2
24. 1119.6 un2
25. 288 ft3
26. 17.28 m3
27. 4 ft
28. About 3.00 m
29. 337.5 m3
30. 12.5 in
72 cm2
18. 12 in.
31. SA about 201.06 ft2; Volume about 268.08 ft3
32. SA about 1017.88 ft2; Volume about 3053.63 ft3
33. Box A; It has the greatest volume (5760 square inches).
34. 37,373,067 ft 3
37. 144 in3
35. 128,177 mm3
36. 13,195 mm2