Sphere practice problems - page 6 of 12
Number of problems found: 231
- Calculate A+V sphere
Calculate the surface and volume of a sphere with a radius of 3 m. - Balls
Ping-pong balls have a diameter of approximately 5.5 cm. It is sold in boxes of 8 pieces: each box has a cuboid shape with a square base. The balls touch the walls of the box. Calculate what portion of the internal volume of the box is filled with balls. - Hollow sphere
The hollow steel sphere floats on the water, plunged into half its volume. Determine the outer radius of the sphere and wall thickness if you know that the weight of the sphere is 0.5 kg and the density of steel is 7850 kg/m³ - Plasticine ball
Plasticine balls each have a radius of r1=77 cm, r2=98 mm, r3=9 cm, r4=81 cm, r5=5 cm, r6=74 mm, r7=49 mm, r8=43 mm, r9=26 mm, r10=2 cm. They are - Soccer ball
Calculate how many soccer balls (the volume of one is 7,200 cm3) theoretically fit into a room with dimensions of 8x5x3 m. Neglect the gaps between the balls. - Wall thickness
The hollow metal ball has an outside diameter of 40 cm. Determine the wall thickness if the weight is 25 kg and the metal density is 8.45 g/cm³. - The inflated
The inflated gymnastic ball should have a diameter of 65 cm. How many times do we have to pump air into a full-blown ball with a bicycle inflator to inflate it if the working volume of the inflator is a cylinder with an inner diameter of 2 cm and a height - Wooden ball diameter
A solid wooden ball made of beech wood weighs 800 g. Calculate its diameter if the wood density is ρ = 750 kg/m³ - Iron sphere
Iron sphere weights 100 kg and density ρ = 7600 kg/m³. Calculate the volume, surface, and diameter of the sphere. - Deciliters - balls
We placed 10 layers of 100 balls with a diameter of 1 cm in a cube-shaped aquarium with an inner edge length of 10 cm. How many deciliters of water could still fit in the aquarium? - Sphere volume formula
If V=4/3 π r³, find the value of V when r = 7, the value of r when V=113 1/7 - Eight
Eight small Christmas balls with a radius of 1 cm have the same volume as one large Christmas ball. What has a bigger surface: eight small balls or one big ball? - Circumscribed - sphere
A cube with a volume of 4096 cm³ is described and inscribed by a sphere. Calculate how many times the volume of the circumscribed sphere is greater than the inscribed sphere. - Ball diameter density
What is the diameter of the ball (for men) if it weighs 7,250 g and ρ = 7.8 g / cm³ - Equilateral cylinder
A sphere is inserted into the rotating equilateral cylinder (touching the bases and the shell). Prove that the cylinder has both a volume and a surface area 50% greater than that of the inscribed sphere. - Sphere radius calculation
Calculate the radius of a sphere with a volume of 6.2 dm3, round to the nearest centimeter. - Cube in ball
The cube is inscribed into the sphere of radius 6 dm. How many percent is the volume of the cube of the volume of the sphere? - Cube into sphere
The cube has brushed a sphere as large as possible. Determine how much percent the waste was. - Radius of a sphere
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. - Ball box percentage A ball with a diameter of 10 cm is in a cube-shaped box with an edge of 10 cm. What percentage of the box does the ball fill?
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