1616.786=2*3.14*r^2+2*3.14*r*h

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Solution for 1616.786=2*3.14*r^2+2*3.14*r*h equation:


Simplifying
1616.786 = 2 * 3.14r2 + 2 * 3.14r * h

Multiply 2 * 3.14
1616.786 = 6.28r2 + 2 * 3.14r * h

Multiply 2 * 3.14
1616.786 = 6.28r2 + 6.28r * h

Multiply r * h
1616.786 = 6.28r2 + 6.28hr

Reorder the terms:
1616.786 = 6.28hr + 6.28r2

Solving
1616.786 = 6.28hr + 6.28r2

Solving for variable 'h'.

Move all terms containing h to the left, all other terms to the right.

Add '-6.28hr' to each side of the equation.
1616.786 + -6.28hr = 6.28hr + -6.28hr + 6.28r2

Combine like terms: 6.28hr + -6.28hr = 0.00
1616.786 + -6.28hr = 0.00 + 6.28r2
1616.786 + -6.28hr = 6.28r2

Add '-1616.786' to each side of the equation.
1616.786 + -1616.786 + -6.28hr = -1616.786 + 6.28r2

Combine like terms: 1616.786 + -1616.786 = 0.000
0.000 + -6.28hr = -1616.786 + 6.28r2
-6.28hr = -1616.786 + 6.28r2

Divide each side by '-6.28r'.
h = 257.45r-1 + -1r

Simplifying
h = 257.45r-1 + -1r

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