8th Honors
Name:
14.3 Worksheet
Period:
1. A can holds 3 tennis balls as shown in the figure. The radius of each tennis ball is 3 centimeters.
a.
What is the volume of a single tennis ball?
b.
What is the total volume all 3 tennis balls take up?
c.
Can you determine the height of the can? Explain your reasoning.
d.
What is the volume of the can? Use 3.14 for 𝜋.
e.
What is the volume of the part of the can not taken up by the tennis balls?
f.
A toy store sells giant tennis balls that each have a volume of 381.51 𝑖𝑛3 . Calculate the
approximate radius of the giant tennis ball.
g.
Calculate the approximate circumference of a giant tennis ball.
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
2.
3.
Calculate the volume of each sphere. Use 3.14 for
4.
. Round decimals to the nearest tenth, if
necessary.
5.
6.
7.
Calculate the volume of each sphere. Use 3.14 for
. Round decimals to the nearest tenth, if
necessary.
8.
The radius of a sphere is 8 meters.
9.
The radius of a sphere is 12 feet.
10.
The diameter of a sphere is 20 centimeters.
11.
The diameter of a sphere is 15 yards.
Calculate the volume of the sphere using the radius, diameter, or circumference given. Use 3.14
for
12.
.
The Atomium in Brussels, Belgium is a model of a unit cell of an iron crystal magnified 165 billion
times. The model is made up of 8 steel spheres as vertices connected by tubes to form a cube shape
with another sphere in the center. Each sphere of the Atomium is 18 meters in diameter. What is the
volume of each sphere in the Atomium?
13.
Spaceship Earth is the most recognizable structure at Epcot Center at Disney World in Orlando
Florida. The ride is a geodesic sphere made up of thousands of small triangular panels. The
circumference of Spaceship Earth is 518.1 feet. What is its volume?
14.
The Oriental Pearl Tower in Shanghai, China is a 468-meter high tower with 11 spheres along the
tower. Two spheres are larger than the rest and house meeting areas, an observation deck, and a
revolving restaurant. The lower of the two larger spheres has a radius of 25 meters and the higher
sphere has a radius of 22.5 meters. What is the total volume of the two largest spheres on the Oriental
Pearl Tower?
15.
The Globe Arena in Stockholm, Sweden is the world’s largest hemispherical building. The diameter
of the arena is 110 meters. The Globe Arena represents the sun in the world’s largest scale model of the
solar system. The Globe Arena is not a complete sphere, but if it were, what would its volume be?
16.
A model of Earth is located 7600 meters from the Globe Arena in Sweden’s solar system model.
The circumference of the Earth model is 56.52 centimeters. What is the volume of the Earth model?
17.
The Montreal Biosphere is a geodesic dome that surrounds an environmental museum in Montreal,
Canada. The dome has a radius of 125 feet. The structure is only 75% of a full sphere. What is its
volume?