Inscribed sphere

How many percents of the cube volume takes the sphere inscribed into it?

Correct result:

p =  52.36 %


r=a/2 V1=43 π r3=43 23 π a3 V2=a3 p=100 V1V2 p=100 43 23 π=100 43 23 3.1416=52.36%r=a/2 \ \\ V_{1}=\dfrac{ 4 }{ 3 } \cdot \ \pi \cdot \ r^3=\dfrac{ 4 }{ 3 \cdot \ 2^3 } \cdot \ \pi \cdot \ a^3 \ \\ V_{2}=a^3 \ \\ p=100 \cdot \ \dfrac{ V_{1} }{ V_{2} } \ \\ p=100 \cdot \ \dfrac{ 4 }{ 3 \cdot \ 2^3 } \cdot \ \pi=100 \cdot \ \dfrac{ 4 }{ 3 \cdot \ 2^3 } \cdot \ 3.1416=52.36 \%

We would be very happy if you find an error in the example, spelling mistakes, or inaccuracies, and please send it to us. We thank you!

Showing 0 comments:

Tips to related online calculators
Our percentage calculator will help you quickly calculate various typical tasks with percentages.
Tip: Our volume units converter will help you with the conversion of volume units.

We encourage you to watch this tutorial video on this math problem: video1

Next similar math problems:

  • Inscribed
    koule_krychle_1 Cube is inscribed in the cube. Determine its volume if the edge of the cube is 10 cm long.
  • Sphere fall
    sphere How many percent fall volume of sphere if diameter fall 10×?
  • Cannonballs
    sphere_Nickel Of the three cannonballs with a diameter of 16 cm, which landed in the castle courtyard during the battle, the castle blacksmith cast balls with a diameter of 10 cm, which fit into the cannons placed on the walls. How many cannonballs did the blacksmith c
  • Gasholder
    gas_holder The gasholder has spherical shape with a diameter 23 m. How many m3 can hold in?
  • Volume increase
    basen_6 How many percent will increase in the pool 50 m, width 15m if the level rises from 1m to 150cm?
  • Persons
    ball1_6 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.
  • Highway repair
    truck_6 The highway repair was planned for 15 days. However, it was reduced by 30%. How many days did the repair of the highway last?
  • Art school
    skola_1 Every fifth pupil 9A goes to art school. How many percent of pupils in class 9A go to art school?
  • The Chemistry test
    test The Chemistry test contained 8 questions, each with 3 points. Peter scored 21 points. How many percent did Peter write a test?
  • Percents
    percents2_10 How many percents is 900 greater than the number 750?
  • Summerjob
    tree2 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?
  • Cube surface area
    cubes2_2 The surface of the cube was originally 216 centimeters square. The surface of the cube has shrunk from 216 to 54 centimeters sq. Calculate how much percent the edge of the cube has decreased.
  • Profit gain
    percent_12 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:
  • Percentages
    permutations_3_3 52 is what percent of 93?
  • Cube volume
    cube6 The cube has a surface of 384 cm2. Calculate its volume.
  • Walking
    cargo_truck_5 Of the 450 students at the school, 432 walks to school. What percentage is this?
  • Reward
    metals 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?