Name
Period
Chapter 14, Volume Test Review
«««« SHOW ALL WORK ON EVERY PROBLEM FOR CREDIT »»»»
Learning Target #1: I know the formulas for the volumes of cones, cylinders,
and spheres.
1. The volume of a mini-basketball is approximately 4846.59 cubic centimeters.
What is the approximate radius of a mini-basketball?
a. 10.5 centimeters
c. 21 centimeters
b. 11.5 centimeters
d. 23 centimeters
2. What is the diameter of the cone?
a. 2.5 millimeters
b. 5 millimeters
2.
3.
c. 37.68 inches
d. 43.96
4. What is the volume of a sphere with a diameter of 18 centimeters? Use 3.14
for pi.
a. 254.34 cubic centimeters
b. 381.51 cubic centimeters
4.
c. 3052.08 cubic centimeters
d. 24,416.64 cubic centimeters
5. 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.
a. 33.49 cubic inches
b. 100.48 cubic inches
1.
c. 10 millimeters
d. 11 millimeters
3. What is the circumference of the base of the cylinder? Use 3.14 for pi.
a. 9.42 inches
b. 18.84 inches
ANSWERS
5.
c. 133.97 cubic inches
d. 401.92 cubic inches
6. What effect does doubling the radius of a cylinder have on the volume of the
cylinder?
a. The volume is doubled.
c. The volume is halved.
b. The volume is quadrupled. d. The volume is multiplied by one-fourth.
6.
7. The circumference of an orange is approximately 37.68 centimeters. What is
the approximate volume of the orange? Use 3.14 for pi.
a. 226.08 cubic centimeters
c. 904.32 cubic centimeters
b. 678.24 cubic centimeters
d. 7234.56 cubic centimeters
8. What is the volume of the cylinder? Use 3.14 for 𝜋.
7.
8.
a. 489.84 cm3
b. 715.92 cm3
c. 1469.52 cm3
d. 3183.96 cm3
Learning Target #2: I can use the formulas for the volume of cones,
cylinders, and spheres to solve real-world problems.
9. 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?
ANSWERS
9.
a. add 3 to the volume of the cone
b. subtract 3 from the volume of the cone
c. multiply the volume of the cone by 3
d. divide the volume of the cone by 3
Use this information about Brittany’s grandmother to answer questions 10a-10j.
10. Brittany’s grandmother sends her to the store to buy a new flour canister for her kitchen.
Brittany finds two canisters that she likes and is having trouble deciding which one to purchase.
She decides to calculate the surface area and volume of the canisters to help her decide.
Fortunately, she brought along a tape measure, pencil, paper, and a calculator. She makes a
sketch of the canisters and measures the radius and height of each one.
a. Which canister do you think will hold the most flour?
Explain your reasoning:
10a.
b. Do you think Brittany should use the surface area or the volume to determine
which canister holds the most flour?
Explain your reasoning:
10b.
c. Identify the radius, diameter, and height of Canister 1.
How did you determine the diameter of the canister?
10c.
r:
d:
h:
d. Determine the distance around Canister 1 by calculating the circumference of the
base of the cylinder. Use the formula C = 2𝜋r and 3.14 for pi. Show your
work.
10d.
e. Identify the radius, diameter, and height of Canister 2. How did you determine the
diameter of the canister?
10e.
r:
d:
h:
f. Determine the distance around Canister 2 by calculating the circumference of the
base of the cylinder. Use the formula C = 2𝜋r and 3.14 for pi. Show your
work.
10f.
g. Calculate the volume of Canister 1. Show your work.
10g.
h. Calculate the volume of Canister 2. Show your work.
10h.
i. Suppose that both canisters cost the same amount. Which canister should Brittany
buy for her grandmother?
Explain your reasoning:
10i.
j. Brittany’s grandmother sees an ad in the local paper for flour canisters. The ad
shows a picture of a smaller canister that she thinks will work better in her kitchen.
The radius of the canister is 2.5 inches, or half of the radius of Canister 1, but the
height is still 10 inches. Brittany is worried that it will only hold one fourth of the
amount of flour as Canister 1, but her grandmother insists it will hold half as much.
Who is correct?
Use 3.14 for 𝜋 and round your answer to the nearest tenth if necessary.
11. Calculate the total volume of the Erlenmeyer flask.
10j.
11.
12. A tennis ball company is designing a new can to hold 3 tennis balls. They want to 12.
waste as little space as possible. How much space does each can waste? Which can
design should they choose?
(BONUS POINTS) 13. If you have a cylinder with a certain volume and you need
another cylinder with the same volume but with double the radius, how should the
height of the new cylinder relate to the height of the original cylinder? Give an
example with measurements.
13.