2487.4452=2*3.14*r^2+2*3.14*r*40.8*h

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Solution for 2487.4452=2*3.14*r^2+2*3.14*r*40.8*h equation:


Simplifying
2487.4452 = 2 * 3.14r2 + 2 * 3.14r * 40.8h

Multiply 2 * 3.14
2487.4452 = 6.28r2 + 2 * 3.14r * 40.8h

Reorder the terms for easier multiplication:
2487.4452 = 6.28r2 + 2 * 3.14 * 40.8r * h

Multiply 2 * 3.14
2487.4452 = 6.28r2 + 6.28 * 40.8r * h

Multiply 6.28 * 40.8
2487.4452 = 6.28r2 + 256.224r * h

Multiply r * h
2487.4452 = 6.28r2 + 256.224hr

Reorder the terms:
2487.4452 = 256.224hr + 6.28r2

Solving
2487.4452 = 256.224hr + 6.28r2

Solving for variable 'h'.

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

Add '-256.224hr' to each side of the equation.
2487.4452 + -256.224hr = 256.224hr + -256.224hr + 6.28r2

Combine like terms: 256.224hr + -256.224hr = 0.000
2487.4452 + -256.224hr = 0.000 + 6.28r2
2487.4452 + -256.224hr = 6.28r2

Add '-2487.4452' to each side of the equation.
2487.4452 + -2487.4452 + -256.224hr = -2487.4452 + 6.28r2

Combine like terms: 2487.4452 + -2487.4452 = 0.0000
0.0000 + -256.224hr = -2487.4452 + 6.28r2
-256.224hr = -2487.4452 + 6.28r2

Divide each side by '-256.224r'.
h = 9.708088235r-1 + -0.02450980392r

Simplifying
h = 9.708088235r-1 + -0.02450980392r

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