To find the volume of a cylinder that has the same dimensions as a sphere with a volume of 60 cubic meters, we first need to determine the radius of the sphere.
The formula for the volume \( V \) of a sphere is given by:
\[ V = \frac{4}{3} \pi r^3 \]
Given that the volume of the sphere is 60 cubic meters, we can set up the equation:
\[ \frac{4}{3} \pi r^3 = 60 \]
Now we need to solve for \( r^3 \):
\[ r^3 = \frac{60 \times 3}{4\pi} = \frac{180}{4\pi} = \frac{45}{\pi} \]
Next, we take the cube root to find \( r \):
\[ r = \sqrt[3]{\frac{45}{\pi}} \]
Now, for the cylinder, we typically need the height as well as the radius. If we assume that the cylinder has the same radius and height as the diameter of the sphere:
- The diameter of the sphere is \( 2r \).
- Therefore, the height of the cylinder will be \( 2r \).
- The radius of the cylinder is \( r \).
The volume \( V \) of a cylinder is given by:
\[ V = \pi r^2 h \]
Substituting \( h = 2r \) into the equation gives:
\[ V = \pi r^2 (2r) = 2\pi r^3 \]
Now substitute \( r^3 \) from our previous calculation:
\[ V = 2 \pi \left(\frac{45}{\pi}\right) = 90 \]
Therefore, the volume of the cylinder with the same radius and height (equal to the diameter of the sphere) is:
\[ \boxed{90} \text{ cubic meters.} \]