To solve the equation 3,532.5 = (3.14)(r^2)(x/3) for the variable r, we can follow these steps:
Multiply both sides of the equation by 3/3 to eliminate the fraction:
3,532.5 * 3/3 = (3.14)(r^2)(x/3) * 3/3
This simplifies to:
10,597.5 = (3.14)(r^2)(x)
Divide both sides of the equation by (3.14)(x) to isolate the variable r:
10,597.5 / (3.14)(x) = (r^2)
Take the square root of both sides of the equation to solve for r:
r = sqrt(10,597.5 / (3.14)(x))
Therefore, the solution to the equation 3,532.5 = (3.14)(r^2)(x/3) for the variable r is:
r = sqrt(10,597.5 / (3.14)(x))