Parent Signature:______________________________
Volume/similar figures
1. Determine the volume of the cone, cylinder, and sphere. Use 3.14 for .
2.
3.
____
4. Which shape describes the base of a cone?
____
5. The volume of a mini-basketball is approximately 4846.59 cubic centimeters. What is the approximate radius
of a mini-basketball?
____
6. A cylindrical-shaped mug has a diameter of 8 centimeters and a height of 10 centimeters. What is the volume
of the mug? Use 3.14 for pi.
Hambidge/Winder
____
7. What effect does doubling the radius of a cone have on the volume of the cone if the height remains the same?
____
8. What is the diameter of the cone?
____
9. A cylinder has a radius of 8 inches and a volume of approximately 2411.52 cubic inches. What is the height
of a cone with the same volume and radius as the cylinder?
____ 10. What is the circumference of the base of the cylinder? Use 3.14 for pi.
____ 11. What effect does doubling the height of a cone have on the volume of the cone if the radius remains the same?
Hambidge/Winder
____ 12. What is the volume of a sphere with a diameter of 18 centimeters? Use 3.14 for pi.
____ 13. A cone-shaped kitchen funnel has a diameter of 6 inches and a height of 7 inches. About how many times
would you need to fill the funnel to fill a cylindrical can that has a radius of 4 inches and a height of 13
inches?
____ 14. What is the approximate volume of a cone with a radius of 2 inches and a height of 8 inches? Use 3.14 for pi.
____ 15. What effect does doubling the radius of a cylinder have on the volume of the cylinder?
____ 16. The circumference of an orange is approximately 37.68 centimeters. What is the approximate volume of the
orange? Use 3.14 for pi.
____ 17. What is the volume of the cone? Use 3.14 for pi.
Hambidge/Winder
____ 18. What is the volume of the cylinder? Use 3.14 for .
____ 19. A cone sits inside a cylinder, as shown. They share the same height and radius. What is the volume of the
cylinder not taken up by the cone? Use 3.14 for .
____ 20. If you know the volume of a cone and that a cylinder has the same base and height as the cone, how would
you determine the volume of the cylinder?
____ 21. What is the volume of a sphere with a radius of 3 inches? Use 3.14 for pi.
____ 22. What shape is the base of a cylinder?
Hambidge/Winder
23.
Find the Volume
24.
Find the Volume
____ 25. Given
____ 26. Given
What is the length of
. Write a true statement.
with
centimeters,
centimeters, and
centimeters.
?
Hambidge/Winder
____ 27. In the figure,
What is the length of
____ 28. Given
Which is the length of
.
?
with
inches,
inches, and
inches.
?
Hambidge/Winder
Volume/similar figures
Answer Section
1. ANS:
PTS: 1
REF: 14.2
KEY: cone | height of a cone
2. ANS:
NAT: 8.G.9
TOP: Pre Test
PTS: 1
REF: 14.1
NAT: 8.G.9
TOP: End Ch Test
KEY: cylinder | right circular cylinder | radius of a cylinder | height of a cylinder | circumference | pi
3. ANS:
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
PTS: 1
REF: 14.1
NAT: 8.G.9
TOP: End Ch Test
KEY: cylinder | right circular cylinder | radius of a cylinder | height of a cylinder | circumference | pi
ANS: C
PTS: 1
REF: 14.2
NAT: 8.G.9
TOP: Standardized Test
KEY: cone | height of a cone
ANS: A
PTS: 1
REF: 14.3
NAT: 8.G.9
TOP: Standardized Test
KEY: sphere | center of a sphere | radius of a sphere | diameter of a sphere | antipodes | great circle |
hemisphere
ANS: A
PTS: 1
REF: 14.1
NAT: 8.G.9
TOP: Standardized Test
KEY: cylinder | right circular cylinder | radius of a cylinder | height of a cylinder | circumference | pi
ANS: B
PTS: 1
REF: 14.2
NAT: 8.G.9
TOP: Standardized Test
KEY: cone | height of a cone
ANS: C
PTS: 1
REF: 14.2
NAT: 8.G.9
TOP: Standardized Test
KEY: cone | height of a cone
ANS: D
PTS: 1
REF: 14.1
NAT: 8.G.9
TOP: Standardized Test
KEY: cylinder | right circular cylinder | radius of a cylinder | height of a cylinder | circumference | pi
ANS: C
PTS: 1
REF: 14.1
NAT: 8.G.9
TOP: Standardized Test
KEY: cylinder | right circular cylinder | radius of a cylinder | height of a cylinder | circumference | pi
ANS: A
PTS: 1
REF: 14.2
NAT: 8.G.9
TOP: Standardized Test
KEY: cone | height of a cone
ANS: C
PTS: 1
REF: 14.3
NAT: 8.G.9
TOP: Standardized Test
KEY: sphere | center of a sphere | radius of a sphere | diameter of a sphere | antipodes | great circle |
hemisphere
ANS: D
PTS: 1
REF: 14.2
NAT: 8.G.9
TOP: Standardized Test
KEY: cone | height of a cone
ANS: A
PTS: 1
REF: 14.2
NAT: 8.G.9
Hambidge/Winder
TOP: Standardized Test
KEY: cone | height of a cone
15. ANS: B
PTS: 1
REF: 14.1
NAT: 8.G.9
TOP: Standardized Test
KEY: cylinder | right circular cylinder | radius of a cylinder | height of a cylinder | circumference | pi
16. ANS: C
PTS: 1
REF: 14.3
NAT: 8.G.9
TOP: Standardized Test
KEY: sphere | center of a sphere | radius of a sphere | diameter of a sphere | antipodes | great circle |
hemisphere
17. ANS: C
PTS: 1
REF: 14.2
NAT: 8.G.9
TOP: Standardized Test
KEY: cone | height of a cone
18. ANS: C
PTS: 1
REF: 14.1
NAT: 8.G.9
TOP: Standardized Test
KEY: cylinder | right circular cylinder | radius of a cylinder | height of a cylinder | circumference | pi
19. ANS: B
PTS: 1
REF: 14.2
NAT: 8.G.9
TOP: Standardized Test
KEY: cone | height of a cone
20. ANS: C
PTS: 1
REF: 14.2
NAT: 8.G.9
TOP: Standardized Test
KEY: cone | height of a cone
21. ANS: D
PTS: 1
REF: 14.3
NAT: 8.G.9
TOP: Standardized Test
KEY: sphere | center of a sphere | radius of a sphere | diameter of a sphere | antipodes | great circle |
hemisphere
22. ANS: D
PTS: 1
REF: 14.1
NAT: 8.G.9
TOP: Standardized Test
KEY: cylinder | right circular cylinder | radius of a cylinder | height of a cylinder | circumference | pi
23. ANS:
The radius is 10 inches, the diameter is 20 inches, and the height is 15 inches.
PTS: 1
REF: 14.1
NAT: 8.G.9
TOP: End Ch Test
KEY: cylinder | right circular cylinder | radius of a cylinder | height of a cylinder | circumference | pi
24. ANS:
The radius is 6 centimeters.
The diameter is 12 centimeters.
The height is 8 centimeters.
25.
26.
27.
28.
PTS:
KEY:
ANS:
TOP:
ANS:
TOP:
ANS:
TOP:
ANS:
TOP:
1
REF: 14.2
cone | height of a cone
A
PTS: 1
Standardized Test
C
PTS: 1
Standardized Test
A
PTS: 1
Standardized Test
A
PTS: 1
Standardized Test
NAT: 8.G.9
REF:
KEY:
REF:
KEY:
REF:
KEY:
REF:
KEY:
TOP: End Ch Test
9.2
NAT:
similar triangles
9.2
NAT:
similar triangles
9.2
NAT:
similar triangles
9.2
NAT:
similar triangles
8.G.3 | 8.G.4
8.G.3 | 8.G.4
8.G.3 | 8.G.4
8.G.3 | 8.G.4
Hambidge/Winder