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Question:

How would I find the radius of a cylinder which requires 188.5 square inches of aluminum and is 7in high?

The original question is,quot;A 39-ounce can of coffee requires 188.5 square inches of aluminumIf the can's height is 7 inches, what is the radius?quot;I tried following creating my own formula to figure this out (A2πr?+2πrh), which gave me the equation (188.52(3.14)r?+2(3.14)r(7) ).Upon simplifying this equation, I came up with,188.56.28r?+43.96rThen I divided 43.96r by 43.96, which came up with 4.287 6.28r?+rThen that gave me 4.287 6.28r?+r, which I divided by 6.28, which gave me .68(rounded).Unfortunately, that answer cannot be correctWhen I plug it back in, it doesn't work whatsoeverIf someone would please help me, I would appreciate it very much:)Thank you!

Answer:

When you divide by 43.96, you have to divide the 6.28 by it as well or you change the equation completelyRegardless, when you are doing calculations you shouldn't do so much rounding until the end, so: A 2πr^2 + 2πrh 188.5 2πr^2 + 2πr(7) 188.5 2πr^2 + 14πr 0 2πr^2 + 14πr - 188.5 Now use the quadratic formula to solve for rThe values are a 2π, b 14π, and c -188.5[-b ± √(b^2 - 4ac)]/(2a) [-14π ± √(196π^2 - 4(2π)(-188.5))]/(22π) [-14π ± √(196π^2 + 1508π)]/(4π) about -10 or about 3 The radius cannot be negative, so it is about 3 inches.
Basically what they are saying is that the house doesn't open until 1:30p (assuming this is a 2pm show)All that means is that you can't get directly into the theatre itselfAny theatre has a lobby areaYou will be able to get into the theatre venue, but not the actual theatre until they open the house (which is permission from the Stage Manager to open the doors and let people into the auditorium once tech checks, on stage warm-ups etc are completed)If for some extremely bizzare reason, this particular theatre does not have a lobby, my suggestion is to wait inside a coffee shop, OR not show up until 1:30p so you can go right inI am assuming you have tickets, so noone is going to take your seats and the show will not sell out to the point you can't get in because they already know tickets have been soldA bit of an odd question, I take it this might be your first time to a theatre :) either that, or this is the most archaic theatre of all time.

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