Find the height of a cone with a volume of 138 cubic meters and a base area of 46 square meters
To find the height of a cone, we need its volume and base area. The formula to calculate the volume of a cone is:
Volume = 1/3 * base area * height
We can rearrange this formula to solve for the height:
Height = Volume / (1/3 * base area)
Substituting the given values:
Height = 138 / (1/3 * 46)
To simplify the calculation, we can first multiply the denominator by 3:
Height = 138 / (3/1 * 46)
Height = 138 / (138/1)
Dividing by a fraction is the same as multiplying by its reciprocal, so we can rewrite this as:
Height = 138 * (1/138)
Now, we can simplify:
Height = 1
Therefore, the height of the cone is 1 meter.