# Sphere Problems

#### Number of problems found: 122

- Sphere area

A cube with edge 1 m long is circumscribed sphere (vertices of the cube lies on the surface of a sphere). Determine the surface area of the sphere. - Cube in sphere

The sphere is an inscribed cube with an edge of 8 cm. Find the sphere's radius. - Sphere cut

A sphere segment is cut off from a sphere k with radius r = 1. The volume of the sphere inscribed in this segment is equal to 1/6 of the segment's volume. What is the distance of the cutting plane from the center of the sphere? - Sphere cuts

At what distance from the center intersects sphere with radius R = 56 plane, if the cut area and area of the main sphere circle is in ratio 1/2. - Cube and sphere

Cube with the surface area 150 cm^{2}is described sphere. What is sphere surface? - Sphere radius

The radius of the sphere we reduce by 1/3 of the original radius. How much percent does the volume and surface of the sphere change? - Sphere vs cube

How many % of the surface of a sphere of radius 12 cm is the surface of a cube inscribed in this sphere? - Sphere fall

How many percent fall volume of a sphere if diameter decreases 3×? - Sphere growth

How many times grow volume of sphere if diameter rises 10×? - Sphere VS

Find the surface and volume of a sphere that has a radius of 2 dm. - Inscribed sphere

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

Intersect between plane and a sphere is a circle with a radius of 60 mm. Cone whose base is this circle and whose apex is at the center of the sphere has a height of 34 mm. Calculate the surface area and volume of a sphere. - Gas sphere

The gas tank has the shape of a sphere with a diameter of 14 m. How many m^{3}of gas will fit in it? - Cube into sphere

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

A sphere of radius 3 cm describes a cone with minimum volume. Determine cone dimensions. - Volume of sphere

How many times does the volume of a sphere increase if its radius increases 2 ×? - 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? - 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? - Spheres in sphere

How many spheres with a radius of 15 cm can fit into the larger sphere with a radius of 150 cm? - Iron sphere

Iron sphere has weight 100 kg and density ρ = 7600 kg/m^{3}. Calculate the volume, surface and diameter of the sphere.

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