A local hockey rink is covered by a dome in the shape of a hemi-sphere (half sphere). if the floor of the arena has a diameter of 250 ft, what is the surface area of the domed roof to the nearest square foot? use π = 3.14.

Respuesta :

The surface area of the domed roof to the nearest square foot is 98125 square foot.

What is a hemi-sphere?

The hemisphere is a three-dimensional geometric object that's also half of a sphere, including one side flat the other as a round bowl. It is created by cutting a spherical at the precise center along its diameter, resulting in two equal hemispheres.

The northern or southern hemispheres of the planet as separated by the equator, or even the eastern or western hemispheres as divided by a meridian are the two hemisphere.

The curved surface area of the hemisphere is given by -

curved surface area = 2[tex]\pi[/tex]r²

The diameter of the base is given as 250 ft.

The radius will become 250/2 = 125 ft.

Substitute the value of radius in the formula of area;

curved surface area = 2[tex]\pi[/tex]125²

curved surface area = 2 ×3.14× 125²

curved surface area = 98125

Therefore, the surface area of the domed roof to the nearest square foot

98125 square foot.

To know more about the hemisphere, here

https://brainly.com/question/619460

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