Answer:
3100 ft³
Explanation:
You want the volume of a figure consisting of a sphere and a cube. The radius of the sphere is 7 ft; the edge of the cube is 12 ft. You want to approximate the value of π using 3.
Volumes
Put the numbers in the formulas and do the arithmetic.
Volume of cube:
V = (12 ft)(12 ft)(12 ft) = 1728 ft³
Volume of sphere:
V = 4/3(3)(7 ft)³ = 4(343 ft³) = 1372 ft³
Figure
The volume of the figure is the sum of the volumes of its parts:
total volume = cube volume + sphere volume
total volume = 1728 ft³ +1372 ft³ = 3100 ft³
The volume of the object is 3100 ft³.
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