Problem of the Week

Oct 17, 2021 | Folsom







Did you figure it out?

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.















Did you figure it out?

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…“.