Final answer:
To find the radius of the cylinder, you need to rearrange the formula for the volume of a cylinder (V = πr²h) to solve for the radius (r). The radius of the cylinder is 13 in.
Step-by-step explanation:
To find the radius of the cylinder, we need to rearrange the formula for the volume of a cylinder (V = πr²h) to solve for the radius (r). We can start by dividing both sides of the equation by πh to isolate the square of the radius. This gives us r² = V / (πh). Next, we can take the square root of both sides to find the radius. In this case, the volume (V) is given as 169π in³ and the height (h) is given as 1 in, so we can substitute these values into the formula.
r² = (169π) / (π*1) = 169
Taking the square root of both sides, we find that the radius (r) is √169, which simplifies to 13.
Therefore, the radius of the cylinder is 13 in.