Math CentralQuandaries & Queries


Question from Shafiqah, a student:

Is this a dome's surface area formula??
{{2 × π r × h square units}}
Is the surface area of the floor for the dome is calculate too in this formula?

Thanks for answering. =)

Hi Shafiqah,

The surface area of a dome of radius $r$ units and height $h$ units is $2 \times \pi \times r \times h$ square units. There is a diagram in our response to an earlier question. This expression for the surface area does not include the floor. To include the area of the disk that forms the floor you would need to find its radius of this disk and calculate its area.

I hope this helps,


Yes; note that r is the radius of the full sphere, not of the floor of the dome.

The area of the floor is pi (r^2 - (r-h)^2) = pi h (2r-h).

Good Hunting!

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