The radius and height differ by one meter. The radius is larger and the volume is 48π cubic meters.

Answer 1

Let r = radius

Then, height = r - 1

Assuming that the object is a cylinder, we have πr²(r-1) = 48π.

So, r³ - r² - 48 = 0

By inspection, 4 is a root. Divide out by r - 4 to get: (r - 4)(r² + 3r + 12) = 0

Since the second factor has only imaginary roots, the only real root is 4.

So, the radius is 4 meters and the height is 3 meters.