Q:
# How Is the Volume of an Ellipsoid Calculated?

**To determine the volume of an ellipsoid, the object's length must first be multiplied by its width and then by its height, followed by a final multiplication by a constant which is equal to the value of pi divided by 6.** Using the 5-decimal-place value of pi, 3.14159, and dividing by 6, a value of 0.523598 is obtained for the constant and final multiplier. Thus, the volume of an ellipsoid with a length of 10 inches, width of 10 inches and height of 5 inches is determined by 10 x 10 x 5 x 0.523598, which equals 261.799 cubic inches.

An ellipsoid is a three-dimensional version of an ellipse in the same manner as a sphere is a three-dimensional version of a circle. It is uncertain when the concept of an ellipse was discovered, though it is believed that the ancient Greeks knew around 350 B.C. that slicing a section of a cone by a two-dimensional plane at an angle, rather than parallel to its base, would produce the conic geometric shape known as an ellipse.

Rather than being a perfect sphere, the Earth is an ellipsoid. Isaac Newton and other British scientists were the first to theorize that the Earth was an ellipsoid. Measurements taken at the equator and at the Arctic Circle by a French survey expedition in 1753 proved the theory to be correct.

Learn more about Shapes-
Q:
## How Do You Calculate Cubic Feet?

A: In order to calculate cubic feet, you need to find the length, width and height of the desired object. You then multiply these three dimensions in order to... Full Answer >Filed Under: -
Q:
## How Is the Volume of a Pentagonal Prism Calculated?

A: The volume of a pentagonal prism is calculated by finding the product of 5/2, the prism's apothem length, the side of its base and its height. The formula ... Full Answer >Filed Under: -
Q:
## What Is the Formula for Cubic Inches?

A: Cubic inches are the expression of the volume of a three-dimensional object. For typical square or rectangular areas, multiple the length of each side in i... Full Answer >Filed Under: -
Q:
## How Do You Find Volume?

A: The volume of a box with height "a" and basal area "B" is given by the formula V = a*B, and the volume of a spherical solid of radius "r" is given by the f... Full Answer >Filed Under: