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2 dni temu · A sphere with radius \(r\) has a volume of \( \frac{4}{3} \pi r^3 \) and a surface area of \( 4 \pi r^2 \). A sphere has several interesting properties, one of which is that, of all shapes with the same surface area, the sphere has the largest volume.
- Thaddeus Abiy
Chętnie wyświetlilibyśmy opis, ale witryna, którą oglądasz,...
- Worranat Pakornrat
Chętnie wyświetlilibyśmy opis, ale witryna, którą oglądasz,...
- Thaddeus Abiy
3 dni temu · Example Calculation. To calculate the properties of a hemisphere with a radius of 2 units: Volume : \ [ \text {Volume} = \frac {2} {3} \pi (2)^3 = 33.5103216383 \text { units}^3 \] Curved Surface Area : \ [ \text {Curved Surface Area} = 2 \pi (2)^2 = 25.1327412287 \text { units}^2 \]
1 dzień temu · The formula for the volume of a sphere is V = 4/3 (pi) r^3. Here's an example featuring a sphere with a radius of two centimeters: V = 4/3 (pi) r^3. V = 4/3 (3.14) (2^3) V = 4/3 (3.14) (8)
6 dni temu · \(m\) is the mass of the sphere in kilograms, \(r\) is the radius of the sphere in meters. Example Calculation. Suppose you have a sphere with a mass of 12 kg and a radius of 0.5 m. To calculate the density, we follow these steps: Calculate the volume: \[ V = \frac{4}{3}\pi r^3 = \frac{4}{3}\pi (0.5)^3 \approx 0.5236 \text{ m}^3 \] Calculate ...
1 dzień temu · Calculation Formula. The dome surface area (DSA) formula is an elegant expression of geometry and calculus: \[ \text{DSA} = 2\pi rh \] where: \(\pi\) is the constant Pi (\(\approx 3.14159\)), \(r\) is the dome radius, \(h\) is the dome height. Example Calculation. Consider a dome with a radius of 6 meters and a height of 2 meters.
1 dzień temu · A sphere with a radius of 5 cm fits inside a box. Every face of the box is tangent to the sphere. What is the ratio of the volume of the box to the volume of the sphere?
1 dzień temu · Pappus's centroid theorems are results from geometry about the surface area and volume of solids of revolution. These quantities can be computed using the distance traveled by the centroids of the curve and region being revolved.
