Sphere - practice for 14 year olds - last page
Number of problems found: 115
- Tank spherical canopy
The gas tank consists of a 16 m high cylinder with a diameter of 28 m, which is closed at the top by a spherical canopy. The center of the spherical surface lies 4 m below the bottom of the cylinder. Please calculate the spherical surface's radius and the - Spherical cap
A spherical cap is placed on a cylinder of height 4.6 cm such that the area of the curved surface of the cap is 20 cm². Determine the radius r of the sphere from which the cap was cut. - Spherical segment
Calculate the volume of the spherical segment and the surface area of the canopy if the radius of the sphere is r = 5 cm and the radius of the circular base of the segment ρ = 4 cm. - Sphere parts, segment
A sphere with a diameter of 20.6 cm, the cut is a circle with a diameter of 16.2 cm. What are the volume and surface of the segment? - Spherical layer volume
Sketch a spherical layer formed from a sphere with a radius of r= 8.5 cm, given: v=1.5 cm, r1=7.7 cm, r2=6.8 cm. What is its volume? - Spherical cap
Calculate the volume of the spherical cap and the areas of the spherical canopy if r = 5 cm (radius of the sphere), ρ = 4 cm (radius of the circle of the cap). - Larger sphere
The volume of the sphere is 20% larger than the volume of the cone. Find its surface if the volume of the cone is 320 cm³. - The observatory
The dome of the hemisphere-shaped observatory is 5.4 meters high. How many square meters of sheet metal need to be covered to cover it, and must we add 15 percent to the minimum amount due to joints and waste? - Spherical bowl
The bowl, in the shape of part of a spherical surface, has a diameter of 28 cm at the top edge and is 8 cm deep. What is the total volume of the bowl? How much water would you have to pour into the bowl to fill it halfway? - Two hemispheres
In a wooden hemisphere with a radius r = 1, the carpenter created a hemispherical depression with a radius r/2. The bases of both hemispheres lie in the same plane. What is the surface of the created body (including the surface of the depression)? - Hemispherical hollow
The vessel's hemispherical hollow is filled with water to a height of 10 cm =. How many liters of water are inside if the hollow's inside diameter is d = 28cm? - Spherical layer
What is the volume of the spherical layer that remains after cutting the paragraphs on both sides of the ball, whose height is 3.5 cm? Is the diameter of the ball 24 cm? - Hemisphere cut
Calculate the spherical layer's volume that remains from the hemisphere after the 3 cm section is cut. The height of the hemisphere is 10 cm. - Calculate sphere cap
Calculate the surface of a spherical cap with a height of 6 cm and a radius of 15 cm - Wooden blocks
Alex cut the wooden block into two parts in one cut. Which body could he not get?
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