Number of problems found: 109
- 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 volume of the segment. What is the distance of the cutting plane from the center of the sphere?
- 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.
- 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 in sphere
The sphere is inscribed cube with edge 8 cm. Find the radius of the 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.
- 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?
- Cube and sphere
Cube with the surface area 150 cm2 is described sphere. What is sphere surface?
- 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 growth
How many times grow volume of sphere if diameter rises 10×?
- Gas sphere
The gas tank has the shape of a sphere with a diameter of 14 m. How many m3 of gas will fit in it?
- Sphere VS
Find the surface and volume of a sphere that has a radius of 2 dm.
- Sphere fall
How many percent fall volume of a sphere if diameter decrease 3×?
- 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/m3
- Volume of sphere
How many times does the volume of a sphere increase if its radius increases 2 ×?
- Cube into sphere
The cube has brushed a sphere as large as possible. Determine how much percent was the waste.
- Inscribed sphere
How many percent of the cube volume takes the sphere inscribed into it?
- 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?
- Sphere from tree points
Equation of sphere with three point (a,0,0), (0, a,0), (0,0, a) and center lies on plane x+y+z=a
- 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?
- Sphere A2V
The surface of the sphere is 241 mm2. What is its volume?
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