Planetarium's 24241

The planetarium's dome has the shape of a hemisphere with a diameter of 17 m. Determine the size of the projection area

Correct answer:

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

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

Level of the problem:

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

Related math problems and questions:

Observatory
Observatory dome has the shape of a hemisphere with a diameter d = 20 m. Calculate the surface.
Hemispherical 39681
What is the coverage area of the painting of a hemispherical dome with a diameter of 8 m?
Hemisphere - roof
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
Half-sphere roof
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?
Calculate 64734
We cut a sphere with a diameter of 10dm into two equal parts. Calculate the area of the cut.
Fit ball
What is the size of the surface of Gymball (FIT - ball) with a diameter of 65 cm?
The reservoir
The reservoir has the shape of a sphere with a diameter of 7.5 m. How many hectoliters can max fit in a reservoir?
Calculate
Calculate the volume and surface area of a sphere with a diameter of 15 m.
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?
The observatory
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?
Reservoir 17043
The reservoir has the shape of a sphere with a diameter of 12 m. How many kg of paint is needed to paint a reservoir if it is painted twice and one kilogram is enough to paint about 8m²?
Spherical cap
What is the surface area of a spherical cap, the base diameter 23 m, and height 3 m?
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.
Material 24841
The diameter of the ball screen is 30 cm. How many m² of fabric do we need to make it if we add 5% of the material to be sewn?
Gas sphere
The gas tank has the shape of a sphere with a diameter of 14 m. How many m³ of gas will fit in it?
Fountain
The stone fountain, which has the shape of a cylinder with a diameter of 3 m, is 70 cm deep. How many m² of stone is wetted with water?
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)?