# Sphere - examples

- 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×? - 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? - Observatory

Observatory dome has the shape of a hemisphere with a diameter d = 7 m. Calculate the surface. - 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. - Gasholder

The gasholder has spherical shape with a diameter 23 m. How many m^{3}can hold in? - Shots

2000 lead shots with diameter 2 mm is decanted into a ball. What is it diameter? - Sphere A2V

Surface of the sphere is 306 m^{2.}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 cm^{3.}Determine the length of the edges of a cube. - Plasticine ball

Plasticine balls have radius r_{1}=100 mm, r_{2}=48 cm. For these balls are molded one big ball. Calculate the radius r of the resulting ball. - Horizon

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.] - Balls

Three metal balls with volumes V_{1}=41 cm^{3}V_{2}=58 cm^{3}and V_{3}=83 cm^{3}melted into one ball. Determine it's surface area. - Balls

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°. - Felix

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/cm^{3}), if the outer diameter is 10 cm and wall thickness is 3 mm. - Sphere

Surface of the sphere is 2260 cm^{2,}weight is 52.2 kg. What is its density? - Sphere fall

How many percent fall volume of sphere if diameter fall 5×? - 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?

Do you have interesting mathematical example that you can't solve it? Enter it and we can try to solve it.