To find the volume of a cylinder with the same dimensions as a sphere, we need to find the radius of that sphere first.
The formula for the volume of a sphere is given by:
V_sphere = (4/3)πr^3
Given that the volume of the sphere is 60 cubic meters, we have:
60 = (4/3)πr^3
Dividing both sides by (4/3)π gives:
60 / ((4/3)π) = r^3
Simplifying further, we get:
r^3 = (3/4) * (60/π)
r^3 = 45 / π
r ≈ 2.69 meters
Now, let's find the volume of the cylinder with the same dimensions.
The formula for the volume of a cylinder is given by:
V_cylinder = πr^2h
Since the radius of the cylinder is the same as the radius of the sphere, we can substitute r ≈ 2.69 meters into the formula.
The height of the cylinder is not given, so we cannot determine its volume without that information.
Volume of sphere is 60 cubic meters. Find volume of cylinder with same dimensions.
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