A tennis ball can in the shape of a right circular cylinder holds four tennis balls snugly. If the radius of a tennis ball is 3.

Question

2 years ago

14

5 cm, what percentage of the can is not occupied by tennis balls?

2 answers:

Talja [164] · Answer 1 · 2023-09-28T19:36:37+03:00

8 0

Answer:

Putangina okay

Step-by-step explanation:

#CarryOnLearning

Volgvan · Answer 2 · 2023-09-28T18:07:21+03:00

Answer:

about 33.3%

Step-by-step explanation:

The fraction of space not occupied will be the same as the unoccupied fraction of a cylinder of the same height and diameter as a sphere.

<h3>Volume of a cylinder</h3>

The volume of a cylinder of diameter d and height d will be ...

V = πr²h = π(d/2)²(d) = (π/4)d³

<h3>Volume of a sphere</h3>

The volume of a sphere of diameter d is ...

V = 4/3πr³ = 4/3π(d/2)³ = (π/6)d³

<h3>Unoccupied space</h3>

The fraction of space that is occupied is ...

occupied space = (sphere volume)/(cylinder volume)

occupied space = ((π/6)d³) / ((π/4)d³) = 4/6 = 2/3

The fraction of unoccupied space is ...

unoccupied fraction = 1 -2/3 = 1/3

unoccupied fraction ≈ 33.3%