What is the radius of a sphere surface area?
What is the radius of a sphere surface area?
Therefore, the Surface Area of a Sphere with radius r equals 4πr2 .
How do you find the curved surface area of a sphere?
Since the sphere is a complete curved shape therefore the curved surface area is equal to the total area of sphere. It is also called lateral surface area. Surface Area of Sphere = 4πr², where r is the radius of sphere.
How do you go from surface area to radius?
User Guide
- Formula. The formula used to calculate the sphere radius is: r = √(A / (4 · π))
- Surface Area of Sphere. Enter the surface area of a sphere.
- Radius of Sphere. This is the radius of the sphere which corresponds to the volume specified.
How area of sphere is 4 pi r 2?
The Area of a Sphere is equal to the Square of the Radius of the sphere multiplied by 12.566 ( 4 × π) or Pi times the Diameter squared ( π × D × D ). This number will be in square inches or square millimeters, depending on the measurement system used.
What is the radius of a sphere that has the same volume and surface area?
The formula for the surface area of a sphere is S = 4πr², and we are given in this case that 4πr² = Nπ. We now need to find the radius r of a sphere in which both the volume and the surface area of the sphere are numerically equal. So, the required Radius of the sphere is 3 unit. There’s an easy, naïve answer.
How many curved surface are there in sphere?
A sphere has no edges and therefore no corners. It has one curved face that goes all the way around.
Why is the area of a sphere 4?
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 formula for finding the surface area of a sphere?
The basic formula for finding the surface area of a sphere is (4)pi*r^2, where r is the radius of the sphere, so you only need the radius of the sphere.
How do you calculate the area of a sphere?
To calculate the surface area of a sphere we multiply 4 by pi by the radius of the sphere squared. Given this formula, we can find the surface area of a sphere when given the radius. Similarly, we can find the radius of a sphere is we are given the surface area.
What is the projected area of a sphere?
For the drag formula, the reference area of the sphere is the projected area normal to the flow, or pi * r^2, and this ref. area would be the same for a sphere or half-sphere with the same radius. The difference in the drag force is accounted for in the different drag coefficients Cd for the two shapes.
What is the lateral surface area of a sphere?
Surface Area of a Sphere. The Greek mathematician Archimedes discovered that the surface area of a sphere is the same as the lateral surface area of a cylinder having the same radius as the sphere and a height the length of the diameter of the sphere. The lateral surface area of the cylinder is 2πrh where h = 2r . Lateral Surface Area of the Cylinder = 2π r ( 2r) = 4πr2 .
