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Mensuration of sphere
What is the difference between Circumference, Area and volume of a sphere?
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Circumference, area, and volume are different measurements associated with a sphere, which is a three-dimensional geometric shape in which all points on its surface are equidistant from its center. Here’s an explanation of each of these measurements:
1. Circumference of a Sphere:
The circumference of a sphere refers to the distance around the outer boundary or “edge” of the sphere. It is similar to the concept of perimeter for two-dimensional shapes. The circumference of a sphere can be calculated using the formula:
Circumference = 2Ï€r
where “Ï€” represents the mathematical constant pi (approximately 3.14159) and “r” represents the radius of the sphere, which is the distance from the center of the sphere to any point on its surface.
2. Area of a Sphere:
The area of a sphere refers to the total surface area covered by the sphere. It represents the sum of all the individual areas of the infinitesimally small points that make up the surface of the sphere. The formula to calculate the surface area of a sphere is:
Area = 4πr²
where “Ï€” is pi and “r” is the radius of the sphere.
3. Volume of a Sphere:
The volume of a sphere represents the amount of three-dimensional space enclosed by the sphere. It measures the total capacity or amount of material that the sphere can hold. The formula to calculate the volume of a sphere is:
Volume = (4/3)πr³
Here, “Ï€” represents pi, and “r” is the radius of the sphere.
In summary, the circumference of a sphere refers to the distance around its outer boundary, the area represents the total surface area of the sphere, and the volume measures the amount of space enclosed by the sphere. These measurements are essential in various mathematical and real-world applications involving spheres, such as architecture, engineering, physics, and more.