What is the surface equation of the sphere?

Therefore, the Surface Area of a Sphere with radius r equals 4πr2 .

How many circles are on the surface of a sphere?

Why do 4 circles cover the surface of a sphere? Is there a geometric explanation for why a sphere has surface area 4πr2? Ie equal to 4 times its cross-section (a circle of radius r).

What is a circle on a sphere called?

A circle on a sphere whose plane passes through the center of the sphere is called a great circle; otherwise it is a small circle. Circles of a sphere have radius less than or equal to the sphere radius, with equality when the circle is a great circle.

Why is the formula of a sphere 4 3?

Since the cylinder/cone and hemisphere have the same height, by Cavalieri’s Principle the volumes of the two are equal. The cylinder volume is πR3, the cone is a third that, so the hemisphere volume is 23πR3. Thus the sphere of radius R has volume 43πR3. Integration.

What are circles and spheres?

A circle is a closed curved line. Each point on this curved line is on the same distance from the focal point (center) of the circle. In simple terms – a circle is a round object in a plane, while a sphere is a round object in a space.

What is the formula of surface area of a circle?

The area of a circle is pi times the radius squared (A = π r²). Learn how to use this formula to find the area of a circle when given the diameter.

What is the formula for surface area of a sphere?

The surface area of a sphere is the total area covered by the surface of a sphere in a three dimensional space. The formula of surface are is given by: The Surface Area of a Sphere(SA) = 4πr2Square units. Where “r” is the radius of the sphere. Volume of a Sphere.

What is the volume of a sphere with radius r?

A sphere with radius r has a volume of 34πr3 and a surface area of 4πr2. A sphere has several interesting properties, one of which is that, of all shapes with the same surface area, the sphere has the largest volume.

What is the surface area of a circle in square units?

Surface area = 4 π r2 square units The difference between a sphere and a circle is that a circle is a two-dimensional figure or a flat shape, whereas, a sphere is a three-dimensional shape. Therefore, the area of circle is different from area of sphere. Area of circle = π r2

What is the biggest circle of a sphere?

The biggest circle of a sphere is a circle that has the same centre and radius of a sphere. A great circle of the sphere is a circle that has the same radius and centre as the sphere itself. In this article, let us discuss how to derive the equation of a sphere along with the surface area and the volume of the sphere in detail.