Sphere - examples
- Hollow sphere
The volume of the hollow ball is 3432 cm3. What is its internal radius when the wall thickness is 3 cm?
- 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.
The gasholder has spherical shape with a diameter 23 m. How many m3 can hold in?
- 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.
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?
- Cube in a sphere
The cube is inscribed in a sphere with volume 6598 cm3. Determine the length of the edges of a cube.
- 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.
Three metal balls with volumes V1=41 cm3 V2=58 cm3 and V3=83 cm3 melted into one ball. Determine it's surface area.
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.]
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°.
- 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?
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?