Practice problems of the sphere - page 6 of 11
Number of problems found: 218
- 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. - 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 - 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 - Circumscribed 81025
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.
- 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? - Iron sphere
Iron sphere has weight 100 kg and density ρ = 7600 kg/m³. Calculate the volume, surface, and diameter of the sphere. - Diameter 48211
What is the diameter of the ball (for men) if it weighs 7,250 g and ρ = 7.8g / cm³ - Centimeter 8324
Calculate the radius of a sphere with a volume of 6.2 dm³. Round to the nearest centimeter. - Percentage 3481
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.
- Chemical parison
The blown parison (with the shape of a sphere) has a volume of 1.5 liters. What is its surface? - Thousand balls
We must create a thousand balls from a sphere with a diameter of 1 m. What will be their radius? - Ball-shaped 28481
How many square meters of material is needed to make a ball-shaped balloon with a volume of 950 m³? - Cube into sphere
The cube has brushed a sphere as large as possible. Determine how much percent the waste was. - Cube-shaped 81931
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?
- Percentage 39373
Inside the 10 cm cube, a sphere is placed to touch all the cube's walls. What percentage of the volume of a cube makes up the volume of a sphere? - 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 half larger than an inscribed sphere. - Percentage 67564
A sphere G is inscribed in the cube K with the length a. A cube K1 is inscribed in sphere G. What percentage of the volume of cube K is made up of the volume of cube K1? - Inscribed sphere
How much % of the volume of the cube whose edge is 6 meters long is a volume of a sphere inscribed in that cube? - The golf
The golf ball with a diameter of 43 mm is packed in a cube-shaped box. What percentage of the box volume is made up of a ball?
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