Practice problems of the spherical segment

Number of problems found: 12

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?
Spherical segment
Calculate the volume of a spherical segment 18 cm high. The diameter of the lower base is 80 cm, the upper base 60 cm.
A spherical segment
The aspherical section, whose axial section has an angle of j = 120° in the center of the sphere, is part of a sphere with a radius r = 10 cm. Calculate the cut surface.
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 of the segment and the surface of the segment?
Spherical segment
The spherical segment with height h=2 has a volume V=112. Calculate the radius of the sphere of which is cut this segment.
Paragraph) 70034
Calculate the volume of the spherical paragraph and the areas of the spherical canopy if r = 5 cm (radius of the sphere), ρ = 4 cm (radius of the circle of the paragraph).
Stadium
A domed stadium is in the shape of spherical segment with a base radius of 150 m. The dome must contain a volume of 3500000 m³. Determine the height of the dome at its centre to the nearest tenth of a meter.
Paragraphs 69164
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?
Hemispherical hollow
The vessel 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?
Hemisphere 70054
Find the volume of the spherical layer that results from a hemisphere with a radius of 5 cm by cutting a paragraph whose height is 1.5 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 65354
Calculate the surface of a spherical paragraph with a height of 6 cm and a radius of 15 cm

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