Answer:
791.751 cm³
Step-by-step explanation:
You want the volume of a square pyramid with side length 12.3 cm and height 15.7 cm.
Volume
The volume formula is given in the problem statement:
V = 1/3s²h
V = 1/3(12.3 cm)²(15.7 cm) = 791.751 cm³
The volume of the pyramid is 791.751 cubic centimeters.
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Additional comment
If V is the volume of a sphere, its radius is given by ...
V = 4/3πr³
r³ = 3V/(4π)
r = ∛(3V/(4π))
For the given volume, the radius of the sphere would be ...
r = ∛(3·791.751/(4π)) ≈ 5.74 . . . . cm
