Question

Three tennis balls are packaged in a box as shown below. The box is 12.1 centimeters long, 3.5 centimeters wide, and 3.5 centimeters tall. Each ball is 3.3 centimeters in diameter. What is the volume of the empty space in the box? SHOW WORK

Answer 1

Answer: 91.8

cm

3

Explanation:

Volume of the box is  

12.1

×

3.5 × 3.5= 148.225

cm

3

Each ball is  

4

3

×

π

×

1.65

3

=

18.8165692

c

m

3

There are three balls  

⇒

56.4497076

c

m

3

Subtract

⇒

148.225

−

56.4497076

=

91.7752924

c

m

3

V

empty space

=

91.775

 

c

m

3

Explanation:

V

box

=

l

⋅

w

⋅

h

=

12.1

⋅

3.5

⋅

3.5

=

148.225

 

c

m

3

V

each ball

=

4

3

π

r

3

=

4

3

π

(

3.3

2

)

3

=

4

3

π

(

35.937

8

)

 

c

m

3

V

3 balls

=

(

35.937

2

)

π

≈

56.450

 

c

m

3

V

empty space

=

148.225

−

56.450

=

91.775

 

c

m

3