Topmusicanswers
The surface area of a sphere can be easily calculated with the help of the volume of the sphere. In this case, we should know the value of the radius of the sphere. The surface area of the sphere = 4πr2. From the formula of volume of a sphere, we can derive that, r3 = 3V/4π, or r = (3V/4π)1/3.
- Why sphere surface area is 4 pi r 2?
- What is the area and volume of a sphere?
- What is the formula for finding surface area of a sphere?
- Why is a sphere's surface area 4 times its shadow?
Why sphere surface area is 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.
What is the area and volume of a sphere?
Surface Area of a Sphere. A = 4 π r2. Volume of a Sphere. V = (4 ⁄ 3) π r3.
What is the formula for finding surface area of a sphere?
Therefore, the Surface Area of a Sphere with radius r equals 4πr2 . Example : Find the surface area of a sphere with radius 5 inches.
Why is a sphere's surface area 4 times its shadow?
In the same way, all the shadows from the northern hemisphere which add up to be a circle have two corresponding rings , one in each hemisphere, the sum of whose areas is four times the shadow's. This explains how the area of a sphere is four times the area of the circle.
