# Balls

Ping pong balls have a diameter of approximately 5.1 cm. They are sold in boxes of 10 pieces: each box has the shape of a cuboid with a square base. The balls touch the walls of the box.

Calculate what portion of the internal volume of the box is filled with balls.

Correct result:

x =  52.36 %

#### Solution:

$x = 100\cdot \dfrac{ 10 \cdot V_1 }{ 10 \cdot V_2 } = 100\cdot \dfrac{ V_1 }{ V_2 } \ \\ x = 100\cdot \dfrac{ \dfrac43\pi r^3 }{ (2r)^3 } \ \\ x = \dfrac{ 4\cdot \pi \cdot 100 }{ 3 \cdot 8} = \dfrac{ 50\cdot \pi }{ 3} \ \\ x = 52.36 \%$

We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you!

Showing 1 comment:
Unkown

Tips to related online calculators
Check out our ratio calculator.
Tip: Our volume units converter will help you with the conversion of volume units.

#### You need to know the following knowledge to solve this word math problem:

We encourage you to watch this tutorial video on this math problem:

## Next similar math problems:

• Profit gain
If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 340, the cost of the article is:
• Reward
Janko and Peter divided the reward from the brigade so that Peter got 5/8 of the reward. What percentage of Janko's reward got?
• Percentage increase
Increase number 400 by 3.5%
• Summerjob
The temporary workers planted new trees. Of the total number of 500 seedlings, they managed to plant 426. How many percents did they meet the daily planting limit?
• The Chemistry test
The Chemistry test contained 8 questions, each with 3 points. Peter scored 21 points. How many percent did Peter write a test?
• Percentages
52 is what percent of 93?
• Persons
Persons surveyed:100 with result: Volleyball=15% Baseball=9% Sepak Takraw=8% Pingpong=8% Basketball=60% Find the average how many like Basketball and Volleyball. Please show your solution.
• Percentage 10
52 shorts and missed 13. Calculate percentage
• Walking
Of the 450 students at the school, 432 walks to school. What percentage is this?
• Tulips
Of the 120 tulips in the garden, 45 are red, 66 are yellow, the rest are brindle. What percentage of tulips in the garden are brindle?
• Art school
Every fifth pupil 9A goes to art school. How many percent of pupils in class 9A go to art school?
• Researchers
Researchers ask 200 families whether or not they were the homeowner and how many cars they had. Their response was homeowner: 14 no car or one car, two or more cars 86, not homeowner: 38 no car or one car, two or more cars 62. What percent of the families
• Volume increase
How many percent will increase in the pool 50 m, width 15m if the level rises from 1m to 150cm?
• Gasholder
The gasholder has spherical shape with a diameter 23 m. How many m3 can hold in?
• Carpenter
From wooden block carpenter cut off a small cuboid block with half the edge length. How many percent of wood he cut off?
• Inscribed sphere
How many % of the volume of the cube whose edge is 6 meters long is a volume of a sphere inscribed in that cube?
• Volume of three cuboids
Calculate the total volume of all cuboids for which the the size of the edges are in a ratio of 1:2:3, and one of the edges has a size 6 cm.