Length + sphere - practice problems
Number of problems found: 13
Surveyors mark 4 points on the surface of the globe so that their distances are the same. What is their distance from each other?
- Earth rotation
How fast is the place on the Earth's equator moving if the Earth's radius is 6378 km?
- The Earth
The Earth's surface is 510,000,000 km². Calculates the radius, equator length, and volume of the Earth, assuming the Earth has the shape of a sphere.
- What percentage
What percentage of the Earth’s surface is seen by an astronaut from a height of h = 350 km. Take the Earth as a sphere with the radius R = 6370 km
- Alien ship
The alien ship has the shape of a sphere with a radius of r = 3000m, and its crew needs the ship to carry the collected research material in a cuboid box with a square base. Determine the length of the base and (and height h) so that the box has the large
We see Moon in the perspective angle 28'. Moon's radius is 1740 km at the time of the full moon. Calculate the mean distance of the Moon from the Earth.
- Average speed
What is the average speed you have to move the way around the world in 80 days? (Path along the equator, round to km/h).
- Iron sphere
Iron sphere has weight 100 kg and density ρ = 7600 kg/m³. Calculate the volume, surface, and diameter of the sphere.
- 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.
The surface of the sphere is 12100 cm2, and the weight is 136 kg. What is its density?
5500 lead shots with diameter 4 mm are decanted into a ball. What is its diameter?
- Earth parallel
Earth's radius is 6370 km long. Calculate the length parallel of latitude 50°.
- Sphere slices
Calculate the volume and surface of a sphere if the radii of parallel cut r1=31 cm, r2=92 cm, and its distance v=25 cm.
Do you want to convert length units? Length - practice problems. Sphere practice problems.