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Find volume. Use 3.14 to find the approximate volume. Enter your answer as a decimal in the box.

A model of a volcano has a height of 12 in., and a diameter of 14 in.

What is the approximate volume of the model?

Sagot :

LovelyQuuen

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.

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