3500=3.14r^2(1.5)

Solution for 3500=3.14r^2(1.5) equation:

Simplifying
3500 = 3.14r2(1.5)

Reorder the terms for easier multiplication:
3500 = 3.14 * 1.5r2

Multiply 3.14 * 1.5
3500 = 4.71r2

Solving
3500 = 4.71r2

Solving for variable 'r'.

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

Add '-4.71r2' to each side of the equation.
3500 + -4.71r2 = 4.71r2 + -4.71r2

Combine like terms: 4.71r2 + -4.71r2 = 0.00
3500 + -4.71r2 = 0.00

Add '-3500' to each side of the equation.
3500 + -3500 + -4.71r2 = 0.00 + -3500

Combine like terms: 3500 + -3500 = 0
0 + -4.71r2 = 0.00 + -3500
-4.71r2 = 0.00 + -3500

Combine like terms: 0.00 + -3500 = -3500
-4.71r2 = -3500

Divide each side by '-4.71'.
r2 = 743.0997877

Simplifying
r2 = 743.0997877

Take the square root of each side:
r = {-27.259856707, 27.259856707}