Inside the 10 cm cube, a sphere is placed to touch all the cube's walls. What percentage of the volume of a cube makes up the volume of a sphere?
Did you find an error or inaccuracy? Feel free to write us. Thank you!
Thank you for submitting an example text correction or rephasing. We will review the example in a short time and work on the publish it.
Tips for related online calculators
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: video1
Related math problems and questions:
- Cylinder in cube
Into a paper box in the shape of a cube with an edge of 10 cm is placed a can in the shape of a cylinder with a height of 10 cm and touching all the walls of the cube. What % of the volume of the cube can take up?
- Cube in sphere
The cube is inscribed in a sphere with a radius r = 6 cm. What percentage is the cube's volume from the ball's volume?
- Perpendicular 5865
We cut the cube with two mutually perpendicular cuts, each parallel to one of the cube's walls. By what percentage is the sum of the surfaces of all cuboids created in this way greater than the surface of the original cube?
- A metal
A metal cylinder is inserted into the cube with a 20 cm edge so that the cylinder shell. Its two bases are in close contact with the cube's walls from the inside. How much water could be poured into the free space between the cube and the cylinder so that
- Surface 45911
A large cube with an edge of length 3 is given. One small cube with a volume 27 times smaller than the volume of the large cube is glued to each of its faces. All the small cubes touch the big ones through the wall. What surface does this body have?
- The golf
The golf ball with a diameter of 43 mm is packed in a cube-shaped box. What percentage of the box volume is made up of a ball?
- Percentage 67564
A sphere G is inscribed in the cube K with the length a. A cube K1 is inscribed in sphere G. What percentage of the volume of cube K is made up of the volume of cube K1?
- Surface of wall
Find by what percentage the cube's surface will decrease if we reduce the surface of each of its walls by 12%.
Three cannonballs with a diameter of 16 cm landed in the castle courtyard during the battle. The castle blacksmith made balls with a diameter of 10 cm, which fit into the cannons placed on the walls. How many cannonballs did the blacksmith cast?
Ping pong balls have a diameter of approximately 4 cm. It is sold in boxes of 9 pieces: each box has a cuboid shape 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.
- Cube-shaped 81931
A ball with a diameter of 10 cm is in a cube-shaped box with an edge of 10 cm. What percentage of the box does the ball fill?
- Tangent spheres
A sphere with a radius of 1 m is placed in the corner of the room. What is the largest sphere size that fits into the corner behind it? Additional info: Two spheres are placed in the corner of a room. The spheres are each tangent to the walls and floor an
- Metal balls
Four metal balls with a diameter of 5 cm are placed in a measuring cylinder with an inner diameter of 10 cm. What is the smallest water volume to be poured into the cylinder so that all balls are below the water level?
- Cube walls
Find the cube's volume and surface area if the area of one of its walls is 40 cm².
- Percentage 61594
Calculate what percentage of the cube volume represents the volume of the cylinder inscribed in the cube. The cylinder's bases are circles inscribed in two opposite walls of the cube with an edge a = 14 cm.
One cube is an inscribed sphere, and the other one is described. Calculate the difference of volumes of cubes if the difference of surfaces in 231 cm².
- Calculate 81841
The sum of the lengths of all the cube's edges is 60 cm. How to calculate its volume?