Sphere practice problems - page 2 of 12
Key Properties of a Sphere:- Center (O) – The fixed point from which all surface points are equally distant.
- Radius (r) – The constant distance from the center to any point on the sphere.
- Diameter (d) – Twice the radius (d = 2r), the longest straight line passing through the center.
- Surface – The set of all points at distance exactly r from the center.
Number of problems found: 231
- The reservoir
The reservoir is a sphere with a diameter of 7.5 m. How many hectoliters can it hold at maximum capacity? - Clay balls
How many can clay balls with a radius of 1 cm be made from a ball of clay with a radius of 8 cm? - Planet Earth
What is the weight of the planet Earth if its average density is ρ = 2.5 g/cm³? - Sphere A2V
The surface of the sphere is 241 mm². What is its volume? - Ball air volume
The diameter of the ball is 65cm. What will be the volume of air in the ball after inflating? - Volume of sphere
How many times does the volume of a sphere increase if its radius increases two times? - Twice of radius
How many times does the surface of a sphere decrease if we reduce its radius twice? - Ball reservoir capacity
The inner diameter of the ball-shaped reservoir is d = 12 m. Can it hold 900 m³ of water? - Granite ball
The granite ball has a diameter of 80 cm. The mass of 1m³ of granite is 2900 kg. What is the mass of the ball? - Earth rotation
How fast is the place on the Earth's equator moving if the Earth's radius is 6378 km? - Lead ball
What is the weight of a lead ball with a diameter of 3 cm if the density of lead is 11340 kg/m cubic? - Hollow sphere
The hollow ball's volume is 3432 cm³. What is its internal radius when the wall thickness is 3 cm? - The granite ball
What is the weight of a granite ball with a radius of 60 cm if 1 m³ of granite weighs 2.7 tons? - 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? - Iron ball
Calculate the radius of an iron ball with a density of 7.8g/cm³ and a mass of 7kg. - Find x 2
Find x, y, and z such that x³+y³+z³=k for each k from 1 to 100. Write down the number of solutions. - Acceleration and force
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/s². Find the magnitude of the force. - Brass ball What is the weight of a hollow brass ball, the outer diameter of which is 16 cm and the wall thickness is 2 cm, while the density of brass is ϱ = 8.5 g
- 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.
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