Table of Contents
Why is the surface area of a sphere 4 pi r 2?
One geometric explanation is that 4πr2 is the derivative of 43πr3, the volume of the ball with radius r, with respect to r. This is because if you enlarge r a little bit, the volume of the ball will change by its surface times the small enlargement of r.
How do you find the surface area and volume of a sphere in Python?
Python Surface Area of Sphere Surface Area of a Sphere = 4πr² (Where r is radius of the sphere). From the above formula, If we know the Surface Area of a sphere then we can calculate the radius of a Sphere using the formula: Radius of a Sphere = √sa / 4π (Where sa is the Surface Area of a sphere).
How do you calculate the area of a sphere in Java?
Java Program
- public class shpere{
- public static void main(String args[])
- {
- int radius=37;
- double pie=3.14285714286;
- double area_sphere=4*pie*(radius*radius);
- System.out.println(“Surface area of sphere=”+area_sphere);
- }
How do you find the surface area of a sphere?
Therefore, the Surface Area of a Sphere with radius r equals 4πr2 .
What is 2 pi r squared?
The expression, 2 pi r will give the circumference (the distance once) around a circle. The expression, pi r squared will give the area of the circle. Now 2 pi r means to multiply 2 by pi (a number close in value to 3.14) an then multiply this result by the radius.
What is 4 pi r 2 dr?
4pi R^2 is the formula for determining the AREA of a sphere.
What is the area of the sphere?
Surface Area of Sphere = 4πr², where r is the radius of sphere. A sphere is a solid figure bounded by a curved surface such that every point on the surface is the same distance from the centre.
How do you find the surface area in Java?
Java Surface Area of a Cylinder If we know the radius and height of the cylinder, then we can calculate the surface area of a cylinder using the formula: Surface Area of a Cylinder = 2πr² + 2πrh (Where r is a radius and h is the height of the cylinder).
What is the formula to find the surface area of sphere?
The formula to find the surface area of sphere is 4 times of pi (π) and radius-squared (r 2 ). Surface area of sphere = 4 π r 2.
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.
Why can’t I Divide a sphere into disks?
There are two problems here. First: Not only do your disks change radius from the apex to the base of the hemisphere, but they do so at a varying rate. Let’s say (for concreteness) that the sphere is x 2 + y 2 + z 2 = R 2, and we’re dividing the sphere into disks based on the x -coordinate.
What is the volume of the sphere in Fig 2?
In the above derivation, the sphere in Fig:2 is divided into pyramids, and the volume of the sphere is equal to the volume of all the pyramids as shown in the figure. The total volume is calculated by the summation of the pyramids volumes.