Observatory

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

Correct answer:

S =  628.3185 m2

Step-by-step explanation:

D=20 m  S=π2 D2=3.14162 202=628.3185 m2



Did you find an error or inaccuracy? Feel free to write us. Thank you!



avatar







You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions:

  • Hemisphere - roof
    kupola The shape of the observatory dome is close to the hemisphere. Its outer diameter is 11 m. How many kilograms of paint and how many liters of thinner is used for its double coat if you know that 1 kg of paint diluted with 1 deciliter of thinner will paint
  • The observatory
    kupola The dome of the hemisphere-shaped observatory is 5.4 meters high. How many square meters of sheet metal needs to be covered to cover it, and 15 percent must be added to the minimum amount due to joints and waste?
  • Half-sphere roof
    kupola The roof above the castle tower has the shape of a 12.8 m diameter half-sphere. What is this roof's cost if the cost of 1 square meter is 12 euros and 40 cents?
  • Spherical cap
    koule2 What is the surface area of a spherical cap, the base diameter 20 m, height 2 m.
  • Two hemispheres
    hemisphere3 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)?
  • Reservoir
    cylinder_Au 6 m long reservoir has a diameter of 2.2 m. What is its surface area in square meters?
  • Sphere area
    sphere A cube with an edge 1 m long is a circumscribed sphere (vertices of the cube lie on a sphere's surface). Find the surface area of the sphere.
  • Stadium
    sphere_segment 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.
  • Gas sphere
    sphere_tank The gas tank has the shape of a sphere with a diameter of 14 m. How many m3 of gas will fit in it?
  • Area of the cone
    cone2 Calculate the surface area of the cone, you know the base diameter 25 cm and a height 40 cm.
  • Hemisphere cut
    odsek_gule 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.
  • The reservoir
    hydroglobus The reservoir has the shape of a sphere with a diameter of 7.5 m. How many hectoliters can max fit in a reservoir?
  • Greenhouse
    foliovnik The Garden plastic greenhouse is shaped half-cylinder with a diameter of 6 m and base length 20 m. At least how many m2 of plastic is needed for its cover?
  • Sphere VS
    gule Find the surface and volume of a sphere that has a radius of 2 dm.
  • Spherical cap 4
    spherical cap What is the surface area of a spherical cap, the base diameter 20 m, height 2.5 m? Calculate using formula.
  • Pool tiles
    bazen The pool is 25m long, 10m wide, and 160cm deep. How many m2 of tiles will be needed on the walls and the pool? How many tiles are needed when 1 tile has a square shape with a 20cm side? How much does it cost when 1m2 of tiles costs 258 Kc?
  • The hollow cylinder
    duty_valec The hollow cylinder has a height of 70 cm, an outer diameter of 180 cm, and an inner diameter of 120 cm. What is the surface of the body, including the area inside the cavity?