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Question: A protein molecule is modeled as a sphere with radius $ r $, and a DNA segment is modeled as a cylinder with radius $ r $ and height $ 3r $. What is the ratio of the volume of the cylinder to the volume of the sphere?
Question: A soil sample is taken in a conical container with height $ h $ and base radius $ r $. If the volume of the cone is equal to the volume of a cube with edge length $ r $, what is the height $ h $ in terms of $ r $?
Question: A rectangular plot of land with sides $ 2a $ and $ 3a $ is inscribed in a circle. What is the circumference of the circle in terms of $ a $?
Question: A circular DNA plasmid has a radius $ r $, and a rectangular region of recombination has sides $ r $ and $ 2r $. What is the ratio of the area of the circular plasmid to the area of the rectangular region?
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