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: 228
- 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?
- Ball-shaped 32173
The inner diameter of the ball-shaped reservoir is d = 12 m. Can it hold 900 m³ of water?
- Inflating 22523
The diameter of the ball is 65cm. What will be the volume of air in the ball after inflating?
- Planet Earth
What is the weight of the planet Earth if its average density is ρ = 2.5 g/cm³?
- Calculate 82808
Calculate the radius of an iron ball with a density of 7.8g/cm³ and a mass of 7kg.
- 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?
- Calculate 41881
The volume of the sphere is 803.84m³. Calculate its surface.
- Surface 4588
What is the volume of a sphere with a surface area of 113.04 square meters?
- Diameter 46661
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?
- 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?
- 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.
- Calculate 19673
The surface of the sphere is 1256 cm². Calculate the radius of the sphere.
- Volume of sphere
How many times does the volume of a sphere increase if its radius increases two times?
- Sphere A2V
The surface of the sphere is 241 mm². What is its volume?
- Calculate 4582
Calculate the surface of a sphere whose volume is 33.9 cm cubic.
- 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
- Twice of radius
How many times does the surface of a sphere decrease if we reduce its radius twice?
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