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
- Sphere - diameter
What is the diameter of a 1 m³ sphere? Write in decimetres - Ball air volume
The diameter of the ball is 65 cm. What will be the volume of air in the ball after inflating? - Volume of ball
Find the volume of a volleyball with a radius of 4 1/2 decimeters. Use 22/7 for π - The reservoir
The reservoir is a sphere with a diameter of 7.5 m. How many hectoliters can it hold at maximum capacity? - Sphere surface
Calculate the surface of a sphere whose volume is 33.9 cm cubic. - Calculate - sphere
Calculate the surface and volume of the sphere if its radius r = 5 cm. - Sphere balls
Calculate the surface and volume of the sphere if the diameter d = 6.5dm. - 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? - Spheres in sphere
How many spheres with a radius of 15 cm can fit into the larger sphere with a radius of 150 cm? - 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. - Ball reservoir capacity
The inner diameter of the ball-shaped reservoir is d = 12 m. Can it hold 900 m³ of water? - 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? - Twice of radius
How many times does the surface of a sphere decrease if we reduce its radius twice? - Sphere equation
Obtain the equation of a sphere. Its center is on the line 3x+2z=0=4x-5y and passes through the points (0,-2,-4) and (2,-1,1). - Surface and volume
What is the volume of a sphere with a surface area of 113.04 square meters? - Volume of sphere
How many times does the volume of a sphere increase if its radius increases two times? - 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? - Radius of sphere
The surface of the sphere is 1256 cm². Calculate the radius of the sphere. - Hollow sphere
The hollow ball's volume is 3432 cm³. What is its internal radius when the wall thickness is 3 cm?
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