Sphere practice problems - page 10 of 12
Number of problems found: 228
- Elevation
What must be an observer's elevation so that he may see an object on the Earth 536 km away? Assume the Earth to be a smooth sphere with a radius 6378.1 km. - Spherical cap
From the sphere with a radius of 26 was a truncated spherical cap. Its height is 2. What part of the volume is a spherical cap from the whole sphere? - The roof
The roof has a spherical canopy with a base diameter of 8 m and a height of 2 m. Calculate the foil area with which the roof is covered when calculating 13% for waste and residues. - Above Earth
To what height must a boy be raised above the earth to see one-fifth of its surface? - Material 24841
The diameter of the ball screen is 30 cm. If we add 5% of the material to be sewn, how many m² of fabric do we need to make? - Spherical cap
The spherical cap has a base radius of 8 cm and a height of 5 cm. Calculate the radius of a sphere of which this spherical cap is cut. - Airplane
Aviator sees part of the earth's surface with an area of 200,000 square kilometers. How high does he fly?
- Spherical 27051
How much fabric is needed to sew a spherical hot air balloon with a diameter of 15 m? How much air is needed to inflate the balloon? - Pilot
How high can the airplane's pilot see 0.001 of Earth's surface? - Cube, cuboid, and sphere
Volumes of a cube and a cuboid are in a ratio of 3:2. Volumes of a sphere and cuboid are in a ratio of 1:3. At what rate are the volumes of a cube, cuboid, and sphere? - A sphere
A sphere has a radius of 5.5 cm. Determine its volume and surface area. A frustum of the sphere is formed by two parallel planes. One through the diameter of the curved surface of the frustum is to be of the surface area of the sphere. Find the height and - Spherical segment
The spherical segment with height h=2 has a volume of V=225. Calculate the radius of the sphere which is cut in this segment. - Observatory's dome
In our city, they decided to reconstruct the observatory's dome and cover it with sheet metal. At least how many square meters of sheet metal will they need if the dome is in the shape of a hemisphere with a diameter of 6m? - Calculate 45991
Calculate the radius of a sphere with the same volume as a cone with a radius of 5cm and a height of 7cm. - Observatory
The observatory dome has the shape of a hemisphere with a diameter d = 10 m. Calculate the surface.
- Planetarium's 24241
The planetarium's dome is shaped like a hemisphere with a diameter of 17 m. Determine the size of the projection area - Calculate 64734
We cut a sphere with a diameter of 10 dm into two equal parts. Calculate the area of the cut. - The cylindrical container
The cylindrical container has a base area of 300 cm³ and a height of 10 cm. It is 90% filled with water. We gradually insert metal balls into the water, each with a volume of 20 cm³. After inserting, how many balls does water flow over the edge of the con - Gold ring
A gold ring with a width of 1 cm is made by drilling a sphere with a radius of 1 cm through its center. A gold bracelet with a width of 1 cm is made by drilling a sphere with a radius of 4 cm through its center. Which piece of jewelry will be worth more i - 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 segment's volume. What is the distance of the cutting plane from the center of the sphere?
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