16(3.14)=.333(r^2)(3)

Solution for 16(3.14)=.333(r^2)(3) equation:

Simplifying
16(3.14) = 0.333(r2)(3)

Multiply 16 * 3.14
50.24 = 0.333(r2)(3)

Reorder the terms for easier multiplication:
50.24 = 0.333 * 3r2

Multiply 0.333 * 3
50.24 = 0.999r2

Solving
50.24 = 0.999r2

Solving for variable 'r'.

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

Add '-0.999r2' to each side of the equation.
50.24 + -0.999r2 = 0.999r2 + -0.999r2

Combine like terms: 0.999r2 + -0.999r2 = 0.000
50.24 + -0.999r2 = 0.000

Add '-50.24' to each side of the equation.
50.24 + -50.24 + -0.999r2 = 0.000 + -50.24

Combine like terms: 50.24 + -50.24 = 0.00
0.00 + -0.999r2 = 0.000 + -50.24
-0.999r2 = 0.000 + -50.24

Combine like terms: 0.000 + -50.24 = -50.24
-0.999r2 = -50.24

Divide each side by '-0.999'.
r2 = 50.29029029

Simplifying
r2 = 50.29029029

Take the square root of each side:
r = {-7.091564728, 7.091564728}