Sphere - practice for 14 year olds
Number of problems found: 115
- The Earth and Moon
The diameter of the Moon is approximately 1/4 of the diameter of the Earth. What fraction of the Earth's volume is the Moon's volume? - Surface = volume
If the volume and the surface area of a sphere are numerically equal, find its radius. - Spheres - ratios
The surface areas of two spheres are in the ratio 1:4. Find the ratio of their volumes. - Calculate sphere
Calculate the volume of a sphere with a diameter of 15 cm. - How many 9
How much percent volume remains of a sphere if the diameter decrease 3×? - Sphere fall
How much percent fall volume of a sphere if the diameter decreases 3×? - Sphere A2V
The surface of the sphere is 241 mm². What is its volume? - Hollow sphere
The hollow ball's volume is 3432 cm³. What is its internal radius when the wall thickness is 3 cm? - Sphere radius
We reduce the radius of the sphere by 1/3 of the original radius. How much percent does the volume and surface of the sphere change? - Sphere growth How many times does a volume of the sphere rise if priemer rises 10×?
- Hollow sphere
Calculate the weight of a hollow dural sphere (density 2.75 g/cm³) if the inner diameter is 18 cm and the wall thickness is 3 mm. - The ball
The ball has a radius of 2 m. What percentage of the surface and volume is another sphere whose radius is 20% larger? - Sun density
The volume of the Sun is 1.4x10 per 18 km cubic, and the weight is 2x10 per 30 kg. What is the average density? (in kg/m cubic) - Shot casting
How many shots with a diameter of 2 mm can a gunsmith cast from 1 kg of lead? The density of lead is 11.4 g / cm3 - Atomic diameter
The diameter of the atomic nucleus is 10 to -12 cm. How many atoms would fit on a 1 mm line if they could be arranged close together? - Chocolate ball comparison
What should a sweet tooth choose if he wants more chocolate: a package containing 200 pieces of solid chocolate balls with a diameter of 1 centimeter or a hollow ball with an outer diameter of 10 cm made of 5 mm thick chocolate? - Sphere floating Will a hollow iron ball float with an outer diameter of d1 = 20 cm and an inside diameter of d2 = 19 cm in the water? The iron density is 7.8 g/cm³. (Instructions: Calculate the average sphere density and compare it with the water density. )
- Ball diameter
A men's shot put has a prescribed weight of 7,250 g and is made of iron. How would its diameter change if it were made of lead? The density of iron is 7.8 g/cm³ and the density of lead is 11.3 g/cm³. - Centroid - two bodies
A body is composed of a 0.8 m long bar and a sphere with a radius of 0.1 m attached so that its center lies on the longitudinal axis of the bar. Both bodies are of the same uniform material. The sphere is twice as heavy as the bar. Find the center of grav - Hectoliters - reservoir
The reservoir has the shape of a sphere with a diameter of 10 m. How many hectoliters of water is in it when it is filled to 90%? How many kg of paint are needed for painting if it is painted twice, and 1 kg of paint is enough for 6 square meters?
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