Apply geometric methods to solve design problems.
Example Problems
About how many cells are in the human body?
(You can assume that a cell is a sphere with radius and that the density of a cell is approximately the density of water, which is .)
(You can assume that a cell is a sphere with radius and that the density of a cell is approximately the density of water, which is .)
About how thick is a soda can? Explain which measurements you will need to take as well as extra information that you may need in order to estimate the thickness of a soda can. You may assume that the can is made of aluminum. Because of the risk of injury, cutting the can and directly measuring its thickness is not permitted.
Eric and Julianne are shoveling snow. After an hour of hard work, Eric remarks, "I bet we have shoveled more than of snow."
a. Explain what measurements Eric and Julianne can make to verify whether or not they have shoveled more than of snow.
b. Is Eric's statement reasonable? Explain.
a. Explain what measurements Eric and Julianne can make to verify whether or not they have shoveled more than of snow.
b. Is Eric's statement reasonable? Explain.
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