Volume of sphere is 60 cubic meters. Find volume of cylinder with same dimensions.
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.