Sphere practice problems - page 7 of 12
Number of problems found: 230
- Diameter 21173
The water ball has a volume of 32,500 m³. How big is its diameter? - 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? - 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. - Inscribed sphere
How much percent of the cube volume takes the sphere inscribed into it? - Inscribed sphere
How much % of the volume of the cube whose edge is 6 meters long is the volume of a sphere inscribed in that cube? - Percentage + sphere
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? - Shots
500 lead shots with diameter 4 mm are decanted into a ball. What is its diameter? - Cubes
One cube is an inscribed sphere, and the other one is described. Calculate the difference of volumes of cubes if the difference of surfaces in 231 cm². - 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. - Diameter 7648
The mug has the shape of a cylinder with a height of 60.7 mm. There is two dl of water in it. If we dip a ball with a diameter of 40 cm into the water, the water will not overflow. What is the minimum diameter of the cup? - Cube in ball
The cube is inscribed into the sphere of radius 181 dm. How many percent is the volume of the cube of the volume of the sphere? - Surface and volume
Calculate the surface and volume of a cylinder whose height is 8 dm and the radius of the base circle is 2 dm. - Inscribed
The cube is inscribed in the cube. Determine its volume if the edge of the cube is 10 cm long. - Cube from sphere
What largest surface area (in cm²) can have a cube that we cut out of a sphere with a radius 26 cm? - Billiard balls
A layer of ivory billiard balls radius of 6.35 cm is in the form of a square. The balls are arranged so that each ball is tangent to everyone adjacent to it. In the spaces between sets of 4 adjacent balls, other balls rest, equal in size to the original. - Tangent spheres
A sphere with a radius of 1 m is placed in the corner of the room. What is the largest sphere size that fits into the corner behind it? Additional info: Two spheres are placed in the corner of a room. The spheres are each tangent to the walls and floor an - Balls
Three metal balls with volumes V1=12 cm3, V2=112 cm3, and V3=59 cm³ were melted into one ball. Determine its surface area. - Cube in a sphere
The cube is inscribed in a sphere with a volume 8101 cm³. Determine the length of the edges of a cube. - Identical 35961
Nine identical spheres are stacked in the cube to fill the cube's volume as much as possible. What part of the volume will the cube fill?
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