Standard equation of a sphere

What is the surface area equation for a sphere?

Surface area of a sphere: A = 4πr.

How do you complete the square of a sphere?

Remember that the circle formula is (x – h)2 + (y – k)2 = r2. If you end up with an equation like (x + 4)2 + (y + 5)2 = 5, you have to keep straight that h and k are subtracted in the center-radius form, so you really have (x – (–4))2 + (y – (–5))2 = 5. That is, the center is at the point (–4, –5), not at (4, 5).

How many circle make a sphere?

Infinite numbers of circles are needed to make one sphere. Since in between any two circles , one can draw another circle.

What is the equation for a circle?

First you need to know that the equation for a circle is (x-a)^2 + (y-b)^2 = r^2 where the center is at point (a,b) and the radius is r.

What is TSA of sphere?

The surface area of a sphere is defined as the region covered by its outer surface in three-dimensional space. A Sphere is a three-dimensional solid having a round shape, just like a circle. The formula of total surface area of a sphere in terms of pi (π) is given by: Surface area = 4 π r2 square units.

Why is the surface area of a sphere?

The Math Behind the Fact: For the ball, a small change in radius produces a change in volume of the ball which is equal to the volume of a spherical shell of radius R and thickness (delta R). The spherical shell’s volume is thus approximately (surface area of the sphere)*(delta R).

How do you calculate area and volume?

Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height. How you refer to the different dimensions does not change the calculation: you may, for example, use ‘depth’ instead of ‘height’.

What is the center of a sphere called?

Total surface area S. Volume: V. A sphere is the set of all points in a space equidistant from a given point called the center of the sphere. The distance between any point of the sphere and its centre is called the radius. The inside of a sphere is called a ball.

What is radius of sphere?

The radius of a sphere (abbreviated as the variable r or R) is the distance from the exact center of the sphere to a point on the outside edge of that sphere.

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