Sphere - examples
- Cube in sphere
The sphere is inscribed cube with edge 8 cm. Find the radius of the sphere.
- MO SK/CZ Z9–I–3
John had the ball that rolled into the pool and it swam in the water. Its highest point was 2 cm above the surface. Diameter of circle that marked the water level on the surface of the ball was 8 cm. Determine the diameter of John ball.
- Sphere growth
How many times grow volume of sphere if radius rises 3×?
Observatory dome has the shape of a hemisphere with a diameter d = 7 m. Calculate the surface.
- Spherical cap
From the sphere of radius 12 was truncated spherical cap. Its height is 4. What part of the volume is spherical cap from whole sphere?
- Spherical segment
Spherical segment with height h=8 has a volume V=294. Calculate the radius of the sphere of which is cut this segment.
The gasholder has spherical shape with a diameter 23 m. How many m3 can hold in?
2000 lead shots with diameter 2 mm is decanted into a ball. What is it diameter?
- Sphere A2V
Surface of the sphere is 306 m2. What is its volume?
- Cube in ball
Cube is inscribed into sphere of radius 136 mm. How many percent is the volume of cube of the volume of sphere?
- Plasticine ball
Plasticine balls have radius r1=100 mm, r2=48 cm. For these balls are molded one big ball. Calculate the radius r of the resulting ball.
- Cube in a sphere
The cube is inscribed in a sphere with volume 6598 cm3. Determine the length of the edges of a cube.
The top of a lighthouse is 12 m above the sea. How far away is an object which is just “on the horizon”? [Assume the earth is a sphere of radius 6378.1 km.]
Three metal balls with volumes V1=41 cm3 V2=58 cm3 and V3=83 cm3 melted into one ball. Determine it's surface area.
Ping pong balls have a diameter of approximately 3 cm. They are sold in boxes of 3 pieces: each box has the shape of a cuboid with a square base. The balls touch the walls of the box. Calculate what portion of the internal volume of the box is filled wit
- Earth parallel
Earth's radius is 6378 km long. Calculate the length parallel of latitude 50°.
Calculate how much land saw Felix Baumgartner after jump from 22 km above ground. The radius of the Earth is R = 6378 km.
- Hollow sphere
Calculate the weight of a hollow brass sphere (density 8.5 g/cm3), if the outer diameter is 10 cm and wall thickness is 3 mm.
Surface of the sphere is 2260 cm2, weight is 52.2 kg. What is its density?
- Earth's surface
The greater part of the earth's surface (r = 6371 km) is covered by oceans; their area is approximately 71% of the Earth's surface. What is the approximate area of the land?