Name: ________________________ Period: __________ Calculator# _____________
Beckstead/Buckner
8th Grade Chapter 14 TEST REVIEW
1. Determine the volume of the cylinder. Use 3.14 for π.
2. Complete the table to identify the effect tripling the radius of a cylinder’s base has on its volume.
Cylinder radius
(cm) r
Cylinder Area of
Base (cm) A = πr2
Cylinder Height
(cm) h
1
1
3
1
9
1
Cylinder Volume
(cm3) V = πr2h
5. Find the volume of this cylinder. Use 3.14 for π .
3. Identify the radius, diameter, and height of the
cylinder.
radius:__________
Volume = ______________
diameter:________
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.
height: _________
4. What is the formula for the volume of a cylinder?
Define each variable.
a.
b.
c.
d.
v =_____________
h = ____________
r = ____________
Formula: ____________________
1
502.4 cubic centimeters
1256 cubic centimeters
2009.6 cubic centimeters
2512 cubic centimeters
Name: ________________________
ID: A
7. 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?
11. Identify the radius, diameter, and height of the
cone.
a. 12 inches
b. 18 inches
c. 24 inches
d. 36 inches
8. What is the circumference of the base of the
cylinder? Use 3.14 for pi.
radius:__________
diameter:________
height: _________
12. What is the formula for the volume of a cone?
Define each variable.
v =_____________
h = ____________
a. 9.42 inches
b. 18.84 inches
c. 37.68 inches
d. 43.96
9. What is the volume of the cylinder? Use 3.14 for π.
r = ____________
Formula: ____________________
13. What effect does doubling the radius of a cone
have on the volume of the cone if the height
remains the same?
a. The volume is doubled.
b. The volume is quadrupled.
c. The volume is halved.
d. The volume is multiplied by one-fourth.
14. What is the diameter of the cone?
a. 489.84 cm3
b. 715.92 cm3
c. 1469.52 cm3
d. 3183.96 cm3
10. What shape is the base of a cylinder?
a.
b.
c.
d.
square
rectangle
triangle
circle
a.
b.
c.
d.
2
2.5 millimeters
5 millimeters
10 millimeters
11 millimeters
Name: ________________________
ID: A
20. A cone has a radius of 6 inches and a height of 9
inches.
15. What effect does doubling the height of a cone
have on the volume of the cone if the radius
remains the same?
a.
Calculate the volume of the cone. Use 3.14
for pi.
Show your work!
a. The volume is doubled.
b. The volume is quadrupled.
c. The volume is halved.
d. The volume is multiplied by one-fourth.
16. What is the volume of the cone? Use 3.14 for pi.
VOLUME =__________________
a. 115.40 cubic millimeters
b. 346.19 cubic millimeters
c. 461.58 cubic millimeters
d. 1384.74 cubic millimeters
17. 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 π.
b.
Calculate a possible radius and height of a
cylinder that has the same volume as the
cone.
c.
If the radius of the cylinder is the same as
the radius of the cone, what is the height of
the cylinder?
Height of the cylinder = ________________
21.
a. 75.36 in.3
b. 150.72 in.3
c. 226.08 in.3
d. 301.44 in.3
18. Which shape describes the base of a cone?
a. square
b. rectangle
c. circle
d. triangle
19. Determine the volume of the cone. Use 3.14 for π.
Radius: ___________ Diameter: _________
Distance from center to all other points: ______
Circumference: ______
Volume = _______________
3
Name: ________________________
ID: A
26. The circumference of an orange is approximately
37.68 centimeters. What is the approximate
volume of the orange? Use 3.14 for pi.
22. List the radius, diameter, distance of the center
point to all other points on the sphere, and the
approximate circumference. Use 3.14 for π
a. 226.08 cubic centimeters
b. 678.24 cubic centimeters
c. 904.32 cubic centimeters
d. 7234.56 cubic centimeters
27. What is the volume of a sphere with a radius of 3
inches? Use 3.14 for pi.
a. 14.13 cubic inches
b. 28.26 cubic inches
c. 84.78 cubic inches
d. 113.04 cubic inches
28. Under the rules of the United States Golf
Association, the volume of a golf ball cannot be
less than 2.48 cubic inches.
Radius: ___________ Diameter: _________
Distance from center to all other points: ______
Circumference: ______
a.
23. What is the formula for the volume of a Sphere?
Define each variable.
Calculate the radius of this golf ball.
Radius = ______________________
v =_____________
b.
ball.
r = ____________
Calculate the circumference of this golf
Formula: ____________________
24. r = 7 m
Circumference = ___________________
29. A small waffle cone has a height of 6 inches and a
diameter of 2.5 inches. Two scoops of sorbet are
placed on the wide end of the cone. The scoops are
spheres with a diameter of 2.5 inches. If all the
sorbet melts into the cone, will the cone overflow?
Volume = ________________
25. The volume of a mini-basketball is approximately
4846.59 cubic centimeters. What is the
approximate radius of a mini-basketball?
a.
b.
c.
d.
10.5 centimeters
11.5 centimeters
21 centimeters
23 centimeters
4