Amodel of a volcano has a height of 12 in., and a diameter of 12 in. what is the volume of the model? use 3.14 to approximate pi, and express your final answer as a decimal. enter your answer in the box.

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.

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