Final answer:
The amount of foam needed to make 150 cones, each with a height of 12 inches and a base radius of 1.5 inches, is 4240.5 inches³.
Step-by-step explanation:
First, we calculate the volume of one cone using the formula for the volume of a cone, which is V = ⅓πr²h, where V is the volume, r is the radius of the base, and h is the height. For a cone with a height of 12 inches and a base radius of 1.5 inches, the volume is V = ⅓π(1.5 inches)²(12 inches) = ⅓π(2.25 inches²)(12 inches) = ⅓π(27 inches³) = 28.27 inches³ (rounded to two decimal places).
To find the amount of foam needed for 150 cones, we multiply the volume of one cone by the number of cones: 150 cones × 28.27 inches³/cone = 4240.5 inches³ of foam.