Answer:
452.16 in³
Step-by-step explanation:
A volcano is an inverted cone and with that, the volume can be solved through the equation,
V = (1/3)(area of the base)(height)
We solve the area of the base first,
area of the base = (pi)(r²)
= 3.14(6 in)²
= 113.04 in²
Substituting these calculated values and the other givens above to the first equation,
V = (1/3)(113.04 in²)(12 in) = 452.16 in³
Thus, the volume of the model is approximately equal to 452.16 in³.
