Answer:
0.796 butterflies per cubic foot
Explanation:
Butterfly density, in this case, can be defined as the number of butterflies per cubic foot of space. We have the number of butterflies, so we need to know the volume of the butterfly house.
The volume of a cylinder is given by ...
V = πr²h . . . . . where r is the radius and h is the height
The radius of the butterfly house is (120 in)/2 = 60 in. Since we want volume in cubic feet, we need to convert this to feet. There are 12 inches in a foot, so 60 inches is ...
(60 in) × (1 ft)/(12 in) = 60/12 ft = 5 ft
Then the volume is ...
V = π(5 ft)²(10 ft) = 250π ft³ ≈ 785.398 ft³
__
If there are 625 butterflies in the house, then their density is ...
(625 butterflies)/(785.398 ft³) ≈ 0.796 butterflies/ft³