Quick Answer: What Is The Area Of The Sphere?

What is radius of sphere?

Below, we have provided an exhaustive set of a radius of a sphere formulas: Given diameter: r = d / 2 , Given area: r = √[A / (4 * π)] , Given volume: r = ³√[3 * V / (4 * π)] , Given surface to volume ratio: r = 3 / (A/V) ..

What is the formula of volume?

Perimeter, Area, and VolumeTable 3. Volume FormulasShapeFormulaVariablesCubeV=s3s is the length of the side.Right Rectangular PrismV=LWHL is the length, W is the width and H is the height.Prism or CylinderV=AhA is the area of the base, h is the height.2 more rows

What is the formula of hollow sphere?

To determine the volume of a sphere, we use the formula 4/3πr^3. So, to find the volume of a hollow sphere, we must subtract the volume of the hollow region from the volume of the overall sphere. Let’s call the radius of the overall sphere r1 and the radius of the hollowed region r2. Thus, we get 4/3π*r1^3 – 4/3π*r2^3.

How many points define a sphere?

four pointsA sphere is uniquely determined by four points that are not coplanar. More generally, a sphere is uniquely determined by four conditions such as passing through a point, being tangent to a plane, etc. This property is analogous to the property that three non-collinear points determine a unique circle in a plane.

What is the area and volume of a sphere?

It can be characterized as the set of all points located distance r (radius) away from a given point (center). … A sphere with radius r has a volume of 4 3 π r 3 \frac{4}{3} \pi r^3 34πr3 and a surface area of 4 π r 2 4 \pi r^2 4πr2.

What is the volume of the sphere?

The formula for the volume of a sphere is V = 4/3 πr³. See the formula used in an example where we are given the diameter of the sphere.

What is equation of sphere?

x2 + y2 + z2 = r2 which is called the equation of a sphere. If (a, b, c) is the centre of the sphere, r represents the radius, and x, y, and z are the coordinates of the points on the surface of the sphere, then the general equation of a sphere is (x – a)² + (y – b)² + (z – c)² = r²

How do you calculate total area?

Multiply the length of the base, b, by the height, h, to find the total area. The equation for the area, A, of a square or rectangle area can be written as: A = b * h. In our example, the base, b, is 12 inches, and the height, h, is 5 inches. Therefore, the area is 12 inches multiplied by 5 inches, or 60 square inches.

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 circumference of sphere?

The Circumference of a circle or a sphere is equal to 6.2832 times the Radius. Circumference = 6.2832 ⋅ R. C = 2 ⋅ π ⋅ R. Figure 3., Circumference is 2 × π × Radius. The Circumference of a circle or a sphere is equal to 3.1416 times the Diameter.

Is surface area a TSA or CSA?

When they say surface area it means csa . no! when they say i surface area it is not hte curved surface area. most of the time if the given solid or article is csa they mention it as CSA and smetimes for tsa they dnt menton it they just say it is to find surface area.

What is the CSA of cylinder?

A cylinder is a three-dimensional solid, whose circular base and top are parallel to each other. … Curved Surface Area- The curved surface area is defined as the area of only curved surface, leaving the circular top and base. Total Surface Area- It is the area of the curved surface as well as the bases.

How do you find the area of a sphere?

To find the surface area of a sphere, use the formula (4πr2), where r = the radius of the circle.

What is CSA and TSA of sphere?

Surface area (TSA) = CSA = 4πr 2. Hemisphere : Curved surface area(CSA) = 2 π r 2. Total surface area = TSA = 3 π r 2.

Why is 4 pi r squared?

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.

Is LSA and CSA same?

Answer Expert Verified TSA or total surface area is the sum of areas of all the surfaces of an object. LSA or lateral surface area is the areas of the lateral surfaces of an object. CSA or curved surface area is the area of the curved surfaces of an object. CSA of cylinder or hemisphere are the same as their LSA.

What is the equation of cylinder?

The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h .

What is an area formula?

The most basic area formula is the formula for the area of a rectangle. … That is, the area of the rectangle is the length multiplied by the width. As a special case, as l = w in the case of a square, the area of a square with side length s is given by the formula: A = s2 (square).

How do we find area?

To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

What is the perimeter formula?

The formula for the perimeter of a rectangle is often written as P = 2l + 2w, where l is the length of the rectangle and w is the width of the rectangle. The area of a two-dimensional figure describes the amount of surface the shape covers.

How do you find the weight of a sphere?

Multiply the sphere’s volume by its density to calculate its weight.