Sphere + length - practice problems
Number of problems found: 25
- Earth rotation
How fast is the place on the Earth's equator moving if the Earth's radius is 6378 km? - Acceleration 61824
On a sphere weighing 100 g, which lies on a horizontal plate, a force acts in the horizontal direction, which gives it an acceleration of 20 cm. s ^ -2. Find the magnitude of the force. - Sphere
The sphere's surface is 12100 cm², and the weight is 136 kg. What is its density? - Approximately 6361
The glass paperweight has the face of a sphere with a radius of 4 cm. Estimate and then calculate its weight. The density of glass is approximately 3800 kg/m³. - Approximately 27561
One cubic decimeter of bronze weighs approximately 8.7 kg. Find the ball's weight (diameter 32 cm), and round the result to kilograms. - Moon
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 around the world in 80 days? (Path along the equator, round to km/h). - Surveyors
Surveyors mark 4 points on the globe's surface so their distances are the same. What is their distance from each other? - Sphere slices
Calculate the volume and surface of a sphere if the radii of a parallel cut r1=32 cm, r2=47 cm, and its distance v=21 cm. - Shortest 81627
What is the shortest distance across the globe's surface on a scale of 1:1,000,000 from the equator to the North Pole? - 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. - Equator 6020
The Equator. ..40075 km train. ..300m. How many trains would fit on the Equator? - Earth parallel
Earth's radius is 6370 km long. Calculate the length parallel to latitude 50°. - Circumference 61944
Calculate the volume and surface of the planet Venus if its circumference is 12,000 km. - Iron sphere
Iron sphere has weight 100 kg and density ρ = 7600 kg/m³. Calculate the volume, surface, and diameter of the sphere. - Percentage 3481
We turned a sphere with the largest possible radius from a cube with an edge length of 8 cm. Calculate the volume of the cube, the ball, and the percentage of waste when turning. - 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? - Shots
5500 lead shots with diameter 4 mm are decanted into a ball. What is its diameter? - Diameter 7648
The mug has the shape of a cylinder with a height of 60.7 mm. There is two dl of water in it. If we dip a ball with a diameter of 40 cm into the water, the water will not overflow. What is the minimum diameter of the cup? - 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.
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