A pillar from an ancient city was found buried in the ground. It had a cross sectional shape like that shown in the figure. If the area of the cross section is eighteen and four hundredths square meters, and the pillar was twenty and five tenths meters tall, what was the total volume of stone contained by the pillar??
To find the volume of the pillar, we need to multiply the area of the cross section by the height of the pillar.
The area of the cross section is given as eighteen and four hundredths square meters, which can be written as:
Area = 18.04 m^2
The height of the pillar is given as twenty and five tenths meters, which can be written as:
Height = 20.5 m
To find the volume of the pillar, we can use the formula:
Volume = Area x Height
Substituting the given values, we have:
Volume = 18.04 m^2 x 20.5 m
Calculating the multiplication, we get:
Volume = 369.22 m^3
Therefore, the total volume of stone contained by the pillar is 369.22 cubic meters.
To find the total volume of the stone contained by the pillar, we need to calculate the volume of the entire shape.
The cross-sectional shape is not provided, so it's difficult to determine the exact volume. However, assuming it's a cylinder, we can calculate the volume using the formula: V = A * h, where V is the volume, A is the cross-sectional area, and h is the height.
Given:
A = 18.04 square meters
h = 20.5 meters
Substituting these values into the formula:
V = 18.04 * 20.5
V = 369.82 cubic meters
Therefore, the total volume of the stone contained by the pillar is 369.82 cubic meters (assuming it has a cylindrical shape).