SOLUTION: The surface area of a closed cone of height h and base radius r is given by
A = πr² + πr√(h² + r²).
Show that h = (A/πr)√(1 - (2πr²/A))
Algebra.Com
Question 1139171: The surface area of a closed cone of height h and base radius r is given by
A = πr² + πr√(h² + r²).
Show that h = (A/πr)√(1 - (2πr²/A))
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
The question is asking to solve for h. Mostly simple algebra.
One of your steps should lead to ,
.
.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
...........square both sides
.......common denominator is
factor out common
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