Question

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

What is the approximate volume of the model?

Use 3.14 to approximate pi, and express your final answer as a decimal.

Enter your answer as a decimal in the box.

Answer 1

Explanation:

Radius r = 6 inches

Height h = 12 inches

volume of cone = πr²h/3 ≈ 3.14∙6²∙12 = 1,356.48 in³

Answer 2

452.16 cm³

Explanation:

I assume the shape of the volcano is a cone.

V = (1/3)πr²h

r = d/2 = 12 in./2 = 6 in.

V = (1/3)(3.14)(6 in.)²(12 in.)

V = 452.16 in.²