# Sphere + cube - practice problems

#### Number of problems found: 28

- Sphere volume formula

If V=4/3 π r^{3}, find, the value of V when r = 7, the value of r when V=113 1/7 - 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? - Thousand balls

We have to create a thousand balls from a sphere with a diameter of 1 m. What will be their radius? - 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? - 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. - Cube into sphere

The cube has brushed a sphere as large as possible. Determine how much percent the waste was. - Inscribed

Cube is inscribed in the cube. Determine its volume if the edge of the cube is 10 cm long. - Cube, cuboid, and sphere

Volumes of a cube and a cuboid are in ratio 3: 2. Volumes of sphere and cuboid are in ratio 1: 3. At what rate are the volumes of cube, cuboid, and sphere? - Inscribed sphere

How many percent of the cube volume takes the sphere inscribed into it? - Inscribed sphere

How many % of the volume of the cube whose edge is 6 meters long is a volume of a sphere inscribed in that cube? - Sphere area

A cube with an edge 1 m long is a circumscribed sphere (vertices of the cube lie on a sphere's surface). Find the surface area of the sphere. - Hollow sphere

The steel hollow 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/m^{3} - Chemical parison

The blown parison (with shape of a sphere) have a volume 1.5 liters. What is its surface? - Iron sphere

Iron sphere has weight 100 kg and density ρ = 7600 kg/m³. Calculate the volume, surface, and diameter of the sphere. - Balls

Three metal balls with volumes V_{1}=71 cm³ V_{2}=78 cm³ and V_{3}=64 cm³ melted into one ball. Determine it's surface area. - Shots

5500 lead shots with diameter 4 mm are decanted into a ball. What is its diameter? - Cube in ball

Cube is inscribed into the sphere of radius 181 dm. How many percent is the volume of cube of the volume of the sphere? - Plasticine ball

Plasticine balls have radius r_{1}=85 cm, r_{2}=60 mm, r_{3}=59 cm, r_{4}=86 cm, r_{5}=20 cm, r_{6}=76 mm, r_{7}=81 mm, r_{8}=25 mm, r_{9}=19 mm, r_{10}=14 cm. For these balls - Cubes

One cube is an inscribed sphere and the other one described. Calculate the difference of volumes of cubes, if the difference of surfaces in 231 cm². - Cube in a sphere

The cube is inscribed in a sphere with a volume 7253 cm³. Determine the length of the edges of a cube.

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Sphere practice problems. Cube practice problems.