Question

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?

Answer 1

The surface area of hemisphere is given by:

$Surface Area = 2 \pi r^{2}$

Where r is radius of hemisphere.

We are given diameter = 250 ft.

We know that radius = half of diameter.

Radius of dome = 1/2 (250) = 125 ft.

Now let us plug the value of radius in the formula,

$Surface Area = 2 (3.14) (125)^{2}$

Surface Area of dome = 98125 square foot.