Question

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

Answer 1

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.