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Construct three different scales on the side of an open cone-shaped container that measure in three different ways the amount of water in the container

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Construct three different scales on the side of an open cone-shaped container that measure in three different ways the amount of water in the container. For definiteness, begin with a cone with a radius of 3.25 cm, height of 21 cm, and slant height of 21.25 cm. 1. Depth scale: On a strip of paper that is 21.25 cm long, make a depth scale that can be pasted to the slanted side of the cone. The problem is to do this in such a way that a mark s on the scale measures the depth h of the water in the cone, with a mark for every centimeter of depth. Describe the functional relationship between s and h. 2. Volume scale: On a second strip of paper the same length, make a volume scale that can be pasted to the slanted side of the cone. Do this in such a way that a mark s on the scale measures the volume V of the water in the cone, with a mark for every 10 mL of volume. Describe the functional relationship between s and V. 3. Rainfall scale: On a third strip of paper the same length, make a "rainfall scale" that can be pasted to the slanted side of the cone. The idea here is that during a rainfall of d centimeters the cone will fill to a certain level. Make the scale in such a way that a mark s on the scale measures the amount d of rainfall, with a mark for every centimeter of rainfall. Describe the functional relationship between sand d. Part 2: Increase the radius of the cone from 3.25 cm to 4 cm and explain the effect on each of the three relationships – particularly discuss if the changes are proportional. FOR ONLINE STUDENTS: To hand in your assignment, lay all three strips side by side next to a ruler or tape measure, and take a photo. Insert this photo into a Word document that contains your work for this project. This assignment uses a rubric. Please review the rubric prior to beginning the assignment to become familiar with the expectations for successful completion. Benchmark Information This benchmark assignment assesses the following programmatic competencies: B.S. Math Sec. E