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How do I find this... Math Help!?
Okay...
Here's the Question-
A Cylinder has base radius less than 5 cm.
The Surface Area of the Cylinder is 410 cm(squared).
What is the height, and how did you find it??
Help??
I know the formula for Surface Area, but I can't figure out how to work backwards- HELP!
1 Answer
- Anonymous1 decade agoFavorite Answer
Surface area should be 2πr²+(2πrh)
410 = 2π(5)²+(2π(5)h)
410=2π*25 + (10πh)
410=50π + 10πh <--- multiply π into equation
410=157.079633 + 31.4159265*h <--- subtract 157.079... from both sides
252.920367 = 31.4159265*h <--- divide both sides by 31.4159265 to isolate h
h = 8.05070533 cm
ANSWER:
Because you said that the radius had to be less than 5, I suppose you can't really say what the height should equal, but rather what it must be greater than. So the height must be greater than 8.051 cm (I rounded off the decimal)