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Here, we cut a sphere into pieces andrearrange them into an oscillatory shape showing howintegrals help us calculate surface area. By breakingdown the surfac...
- 11 sec
- D-NOTE EdTech Pvt. Ltd
Dec 20, 2023 · This tutorial offers a clear and comprehensive guide to finding the surface area of a sphere, a fundamental concept in geometry. Whether you're a student, ed...
- 8 min
- 3.9K
- Math and Science
This geometry video tutorial explains how to calculate the surface area of a sphere.3D Shapes - Faces, Edges, & Vertices: https://www.youtube.com/watch?v...
- 1 min
- 58.6K
- The Organic Chemistry Tutor
Jan 16, 2024 · Categories: Calculating Volume and Area. To find the surface area of a sphere, use the equation 4πr2, where r stands for the radius, which you will multiply by itself to square it. Then, multiply the squared radius by 4. For example, if the radius is 5, it would be 25 times 4, which equals 100.
- How to Calculate The Surface Area of A body?
- Surface Area of A Cube
- Surface Area of A Box
- Surface Area of A Cylinder
- Surface Area of A Sphere
- Surface Area of A Cone
- Surface Area of A Triangular Prism
Depending on the type of body, there are different formulas and different required information you need to calculate surface area (a.k.a. total surface area). Below are the formulas for calculating surface area of the most common body types. In all surface area calculations, make sure that all lengths are measured in the same unit, e.g. inches, fee...
The surface area formula for a cube is 6 x side2, as seen in the figure below: This calculation requires only one measurement, due to the symmetricity of the cube. side2is the surface of one of the sides, and since the cube has 6 equal sides, multiplying by 6 gives us the total cube surface area. E.g. to find the surface area of a cube with a side ...
The surface area formula for a rectangular box is 2 x (height x width + width x length + height x length), as seen in the figure below: Since a rectangular box or tank has opposite sides which are equal, we calculate each unique side's area, then add them up together, and finally multiply by two to find the total surface area.
The surface area formula for a cylinder is π x diameter x (diameter / 2 + height), where (diameter / 2) is the radius of the base (d = 2 x r), so another way to write it is π x radius x 2 x (radius + height). Visual in the figure below: The cylinder surface area is the height times the perimeter of the circle base, plus the areas of the two bases, ...
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 radius2. Visual on the figure below: A sphere's surface area can be calculated just by knowing its diameter, or radius (diameter = 2 x radius). π is, of course, the well-known mathemat...
The surface area formula for a cone, given its diameter (or radius) and height is π x (diameter / 2)2 + π x (diameter / 2) x √ ((diameter / 2)2 + (height2)), where (diameter / 2) is the radius of the base (d = 2 x r), so another way to write it is π x radius2 + π x radius x √ (radius2 + (height2)), as seen in the figure below: The surface area of a...
The surface area formula for a triangular prism is 2 * (height x base / 2) + length x width1 + length x width2 + length x base, as seen in the figure below: A triangular prism is a stack of triangles, so the usually triangle solving rules apply when calculating the area of the bases.
Mar 18, 2024 · The formula depends on the type of solid. Surface area of a sphere: A = 4πr², where r stands for the radius of the sphere. Surface area of a cube: A = 6a², where a is the side length. Surface area of a cylinder: A = 2πr² + 2πrh, where r is the radius and h is the height of the cylinder. Surface area of a cone: A = πr² + πr√(r² + h² ...
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Jul 19, 2024 · The surface area of a sphere with a diameter of 8 cm is 201.06 cm 2. To obtain this result, follow these steps: Multiply the diameter by itself to get the diameter squared: d 2 = 8 2 = 64 cm 2. Multiply the diameter squared by pi to obtain the sphere's surface area: A = π × d 2 = π × 64 cm 2 ≈ 201.06 cm 2. Verify the result using our area ...