How do you calculate spherical surface area?

The steps to calculate the surface area of a sphere is:

1. Step 1: Know the radius of the sphere.
2. Step 2: Take the square of the radius by multiplying it by itself.
3. Step 3: Multiply r2 by 4.
4. Step 4: Multiply the value of 4r2 by the approximate value of pi, that is, 3.14.
5. Step 5: At last, add the units to the final answer.

How do you find the surface area to volume ratio of a sphere?

For a sphere, surface area is S= 4*Pi*R*R, where R is the radius of the sphere and Pi is 3.1415… The volume of a sphere is V= 4*Pi*R*R*R/3. So for a sphere, the ratio of surface area to volume is given by: S/V = 3/R.

How do you find the surface area of a sphere given the area of the Great Circle?

We can simply multiply the area of the great circle by four to find the surface area. The only thing to remember is that this only works with the great circle. It doesn’t work with any other circles in the sphere. This is because any smaller circles in our sphere will not have the same radius.

How do you find the surface area of a sphere with the diameter?

In this area of a sphere calculator we use four equations:

1. Given radius: A = 4 * π * r² ,
2. Given diameter: A = π * d² ,
3. Given volume: A = ³√(36 * π * V²) ,
4. Given surface to volume ratio: A = 36 * π / (A/V)² .

How do you find the surface area of a sphere with the circumference?

Sphere Formulas in terms of radius r:

1. Volume of a sphere: V = (4/3)πr.
2. Circumference of a sphere: C = 2πr.
3. Surface area of a sphere: A = 4πr.

How do you calculate surface to volume ratio?

The surface to volume ratio, or S/V ratio, refers to the amount of surface a structure has relative to its size. To calculate the S/V ratio, simply divide the surface area by the volume. We will examine the effect of size, shape, flattening an object, and elongating an object on surface-to- volume ratios.

How do you calculate surface area?

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

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.

What is the lateral surface area of a sphere?

The lateral surface area of a sphere is given by 4πr2 4 π r 2 where r is the radius of the sphere. Hence, the Curved Surface Area (CSA) of a Hemisphere is given by 2πr2 2 π r 2 where r is the radius of the sphere of which the hemisphere is a part. The total surface area (TSA) of a Hemisphere is given by 3πr2.

What are the surface area A and volume V of a marble whose radius is 2cm?

Example 1: What is the total surface area of a sphere whose radius is 5.5 meters? Thus the surface area of the sphere is 379.94 m2. Example 2: A spherical ball has a surface area of 2464 cm2. Find the radius of the ball, correct to 2 decimal places, using π = 3.142.

What is 4 pi r 2 dr?

4(pi)*R^2 is the formula for the surface area of a sphere.

How do I use the surface area of an ellipsoid calculator?

The Surface Area of an Ellipsoid calculator uses the Knud Thomsen’s formula to compute an approximation of the surface area of an ellipsoid based on the lengths of the semi-axes. INSTRUCTIONS: Choose units and enter the following: Surface Area of an Ellipsoid (SA): The calculator returns the surface area in square meters.

How do you find the surface area of a sphere?

Surface area of a sphere. The surface area formula for a sphere is 4 x π x (diameter / 2) 2, where (diameter / 2) is the radius of the sphere (d = 2 x r), so another way to write it is 4 x π x radius 2. Visual on the figure below:

What is the surface area of a scalene ellipsoid?

The scalene ellipsoids are also called as “a triaxial ellipsoids” because all the three axes are required to be specified to define a shape. According to wikipedia.org the surface area of a general ellipsoid cannot be expressed exactly by an elementary function. However an approximate formula can be used and is shown below:

How do you calculate the surface area of a spherical cap?

Spherical Cap. The surface area of a spherical cap is based on the height of the segment in question. The calculator provided assumes a solid sphere and includes the base of the cap in the calculation of surface area, where the total surface area is the sum of the area of the base and that of the lateral surface of the spherical cap.