[size=150]The image shows a cone that has a base with area [math]36\pi[/math] square centimeters. The cone has been dilated using the top vertex as a center. The area of the dilated cone’s base is [math]729\pi[/math] square centimeters.[/size][br][br][img]data:image/png;base64,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[/img][br][br]What was the scale factor of the dilation?
[table][tr][td]If your teacher gives you the data card:[/td][td]If your teacher gives you the problem card:[/td][/tr][tr][td][list=1][*]Silently read the information on your card.[/*][*]Ask your partner “What specific information do[br]you need?” [br]and wait for your partner to ask for information. [br]Only give information that is on your card. [br](Do not figure out anything for your partner!)[/*][*]Before telling your partner the information, ask [br]“Why do you need to know (that piece of information)?”[/*][*]Read the problem card, [br]and solve the problem independently.[/*][*]Share the data card, and discuss [br]your reasoning.[br][/*][/list][br][/td][td][list=1][*]Silently read your card and think about [br]what information you need to answer[br] the question.[/*][*]Ask your partner for the specific information [br]that you need.[/*][*]Explain to your partner how you are using [br]the information to solve the problem.[/*][*]When you have enough information, [br]share the problem card with your partner, [br]and solve the problem independently.[/*][*]Read the data card, and discuss [br]your reasoning.[br][/*][/list][/td][/tr][/table]
[size=150]A beverage company manufactures and fills juice cans. They spend $0.04 on materials for each can, and fill each can with $0.27 worth of juice.[br][br]The marketing team wants to make a jumbo version of the can that’s a dilated version of the original. They can spend at most $0.16 on materials for the new can. There’s no restriction on how much they can spend on the juice to fill each can. The team wants to make the new can as large as possible given their budget.[/size][br][br]By what factor will the height of the can increase? Explain your reasoning.[br]
By what factor will the radius of the can increase? Explain your reasoning.[br]
What geometric solid do the cans resemble? What are some possible differences between the geometric solid and the actual can?[br]
What will be the total cost for materials and juice fill for the jumbo can? Explain or show your reasoning.[br]
Describe any other factors that might cause the total cost to be different from your answer.[br]
[size=150]As of 2019, the Burj Khalifa, located in Dubai, was the tallest building in the world. Suppose a scale model of the Burj Khalifa (without antennae) is 30 inches tall.[/size][br][br]To what scale is this model? You will need to use the internet or another resource to find the actual height of the building.[br]
How tall would a model of the Eiffel tower be at this scale?