Question

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?

Answer 1

452.16 in³

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.