SOLUTION: You are the architect in charge of building a new tower. This tower is to be a cylinder capped by a hemisphere (a half of a sphere). This means that the cylinder part is like an op
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Question 975808: You are the architect in charge of building a new tower. This tower is to be a cylinder capped by a hemisphere (a half of a sphere). This means that the cylinder part is like an open drum and only has a bottom. Note the hemisphere will have the same radius as the cylinder. Suppose further that the construction materials are priced as follows:
• Floor: $10 per square foot
• Siding (Walls): $15 per square foot
• Roof (Hemisphere): $20 per square foot
You will have a total materials budget of $200,000. What are the dimensions of the tower (radius and height of the cylinder) which will maximize the volume enclosed by the tower?
Please help! Answer by solver91311(24713) (Show Source):
