# Sphere + area - practice problems

#### Number of problems found: 47

- Chemical parison

The blown parison (with shape of a sphere) have a volume 1.5 liters. What is its surface? - Iron sphere

Iron sphere has weight 100 kg and density ρ = 7600 kg/m³. Calculate the volume, surface, and diameter of the sphere. - Balls

Three metal balls with volumes V_{1}=71 cm³ V_{2}=78 cm³ and V_{3}=64 cm³ melted into one ball. Determine it's surface area. - Sphere

The surface of the sphere is 12100 cm^{2}, and the weight is 136 kg. What is its density? - Observatory

Observatory dome has the shape of a hemisphere with a diameter d = 20 m. Calculate the surface. - Sphere A2V

The surface of the sphere is 241 mm². What is its volume? - Sphere in cone

A sphere is inscribed in the cone (the intersection of their boundaries consists of a circle and one point). The ratio of the surface of the ball and the contents of the base is 4: 3. A plane passing through the axis of a cone cuts the cone in an isoscele - Tropics and polar zones

What percentage of the Earth's surface lies in the tropical, temperate, and polar zone? Individual zones are bordered by tropics 23°27' and polar circles 66°33'. - Martians

A sphere-shaped spaceship with a diameter of 6 m landed in the meadow. In order not to attract attention, the Martians covered it with a roof in the shape of a regular cone. How high will this roof be so that the consumption of roofing is minimal? - 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? - Two hemispheres

In a wooden hemisphere with a radius r = 1, a hemispherical depression with a radius r/2 was created so that the bases of both hemispheres lie in the same plane. What is the surface of the created body (including the surface of the depression)? - 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. - Cubes

One cube is an inscribed sphere and the other one described. Calculate the difference of volumes of cubes, if the difference of surfaces in 231 cm². - The Earth

The Earth's surface is 510,000,000 km². Calculates the radius, equator length, and volume of the Earth, assuming the Earth has the shape of a sphere. - Spherical cap

Place a part of the sphere on a 4.6 cm cylinder so that the surface of this section is 20 cm². Determine the radius r of the sphere from which the spherical cap was cut. - Airplane

Aviator sees part of the earth's surface with an area of 200,000 square kilometers. How high he flies? - Above Earth

To what height must a boy be raised above the earth to see one-fifth of its surface. - Sphere - parts

Calculate the area of a spherical cap, which is part of an area with base radius ρ = 10 cm and a height v = 3.4 cm. - Pilot

How high is the airplane's pilot to see 0.001 of Earth's surface?

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Sphere practice problems. Area - practice problems.