Lathe

Calculate the percentage of waste if the cube with 53 cm long edge is lathed to cylinder with a maximum volume.

p =  21.5 %

Step-by-step explanation:

$p=100\mathrm{%}\cdot \frac{{V}_{1}-{V}_{2}}{{V}_{1}}=100\mathrm{%}\cdot \frac{5{3}^{3}-\pi \frac{5{3}^{2}}{4}\cdot 53}{5{3}^{3}}=100\cdot \left(1-\frac{\pi }{4}\right)=21.5\mathrm{%}$

We will be pleased if You send us any improvements to this math problem. Thank you!

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

Related math problems and questions:

• Lathe
From the cube of edge, 37 cm was a lathed maximum cylinder. What percentage of the cube is left as waste after lathed?
• Two boxes-cubes
Two boxes cube with edges a=38 cm and b = 81 cm is to be replaced by one cube-shaped box (same overall volume). How long will be its edge?
• Big cube
Calculate the surface of the cube, which is composed of 64 small cubes with an edge 1 cm long.
• 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 does the can take up?
• Cuboids in cube
How many cuboids with dimensions of 6 cm, 8 cm and 12 cm can fit into a cube with side 96 centimeters?
• Cube into cylinder
If we dip a wooden cube into a barrel with a 40cm radius, the water will rise 10 cm. What is the size of the cube edge?
• Equilateral cylinder
Equilateral cylinder (height = base diameter; h = 2r) has a volume of V = 199 cm3 . Calculate the surface area of the cylinder.
• Prism
Right-angled prism, whose base is a right triangle with leg a = 3 cm and hypotenuse c = 13 cm, has the same volume as a cube with an edge length of 3 dm. a) Find the height of the prism b) Calculate the surface of the prism c) What percentage of the cube'
• Cube zoom
How many percents do we increase the volume and surface of the cube if we magnify its edge by 38 %?
• Tetrahedral prism
The height of a regular tetrahedral prism is three times greater than the length of the base edge. Calculate the length of the base edge, if you know that the prism volume is 2187 cm3.
• Hole
In the center of the cube with edge 14 cm we will drill cylinder shape hole. Volume of the hole must be 27% of the cube. What drill diameter should be chosen?
• Cube corners
A small cube with an edge length of 2 cm was cut from each corner of a large cube with an edge length of 10 cm. How many cm3 was the body left from the big cube after cutting the small cubes?
• Balls
Three metal balls with volumes V1=71 cm3 V2=78 cm3 and V3=64 cm3 melted into one ball. Determine it's surface area.
• Cube surfce2volume
Calculate the volume of the cube if its surface is 150 cm2.
• Body diagonal - cube
Calculate the surface and cube volume with body diagonal 15 cm long.
• Volume increase
How many percent will increase in the pool 50 m, width 15m if the level rises from 1m to 150cm?
• Minimum surface
Find the length, breadth, and height of the cuboid-shaped box with a minimum surface area, into which 50 cuboid-shaped blocks, each with length, breadth, and height equal to 4 cm, 3 cm, and 2 cm respectively, can be packed.