Solve A=2πr2+2πrh for r.
A=2πr2+2πrhGivenA=2π(r2+rh)Factor out 2πA2π=r2+rhDivide both sides by 2πA2π+h24=r2+rh+h24Complete the square: add (h2)2=h24A2π+h24=(r+h2)2Perfect square±√2A+h24π=r+h2Take the square root and simplify by using LCDr=−h2±√2A+h24πSubtract h2r=−h2±12(√2A+h2π)Solve for r
No comments:
Post a Comment