Answer: 573â…“π cubic inches
Solution: One way to find the difference in volume between the cut-off cone and the volume of the whole cone. The whole cone is â…“ × 144π × 12 = 576π cubic inches before the top is removed. The dimensions of the cut-off cone are 2 ÷ 12 = â…™ those of the whole. Since the base is in two dimensions, its area is â…™ × â…™ × 144π = 4π square inches. The volume of the cut-off cone is â…“ × 4π × 2 = 2â…”π cubic inches, and the difference is 573â…“π cubic inches.
Answer: 11â…“ larvae
Solution: To find the average, we add up all the numbers of larvae and then divide by the number of samples. Natalie collected a total of 12 + 22 + 0 + 13 + 8 + 13 = 68 mosquito larvae in her samples. So, the average number of mosquito larvae in a sample is 68 ÷ 6 = 11â…“.
