Body volume + real numbers - math problems
Number of problems found: 12
Cube, which consists of 8 small cubes with edge 3 dm has volume:
- Cube zoom
How many percents do we increase the volume and surface of the cube if we magnify its edge by 38 %?
- 2x cone
Circular cone height 84 cm was cut plane parallel with base. Volume of these two small cones is the same. Calculate the height of the smaller cone.
- Spherical cap
From the sphere of radius 11 was truncated spherical cap. Its height is 6. What part of the volume is a spherical cap from the whole sphere?
The area of the side of two cylinders is the same rectangle of 33 mm × 18 mm. Which cylinder has a larger volume and by how much?
- Axial section
The axial section of the cone is an equilateral triangle with area 168 cm2. Calculate the volume of the cone.
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?
The right triangle with legs 11 cm and 18 cm rotate around the longer leg. Calculate the volume and surface area of the formed cone.
- Cube in a sphere
The cube is inscribed in a sphere with a volume 7253 cm3. Determine the length of the edges of a cube.
- Cone A2V
The surface of the cone in the plane is a circular arc with central angle of 126° and area 415 cm2. Calculate the volume of a cone.
- Copper winding
Calculate the current flowing through the copper winding at an operating temperature of 70°C. Celsius, if the winding diameter is 1.128 mm and the winding length is 40 m. The winding is connected to 8V.
One cube is an inscribed sphere and the other one described. Calculate the difference of volumes of cubes, if the difference of surfaces in 257 mm2.