Kirma lives in a hemispherical dome with radius 12 feet. How many square feet should her air conditioner be rated for?

Question

kropot72 · Answer

The formula for calculating the volume of a sphere is:
$$V=(4\div3)\times pi \times r ^{3}$$
Volume of the sphere is 7238 cubic feet to the nearest cubic foot.
Note that it is the volume (cubic feet) not the area (square feet) that is needed.

anonymous · Answer

Yes, but you would divide 7238 by two since it it a hemisphere, correct?

anonymous · Answer

Part 2 of the question is 
Kirma discovers that the air conditioner ratings are really based on the cubic footage of air to be cooled, and that the square footage listed is assumed to be in a rectangular room with an 8 foot ceiling.
If she decides to buy an air conditioner based on this discovery, how many square feet should her air conditioner be rated for?

kropot72 · Answer

You are so right :D

anonymous · Answer

Also do you know anything about part 2 of this question.

kropot72 · Answer

Find the vulume of the hemisphere = 3619 cu.ft.
Then divide by 8 to convert to the floor area of a rectangular room with an 8 foot ceiling: 3619/8 = 452 sq.ft. to the nearest square foot.