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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
4 dni 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. To compute the volume of a solid formed by rotating a region ...
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 \]
6 dni temu · The formula to calculate the volume of a ball (sphere) is given by: \[ BV = \frac{4}{3} \pi R^3 \] where: \(BV\) represents the Ball Volume in cubic inches (\(in^3\)), \(R\) is the radius of the ball in inches (\(in\)). Example Calculation. For a ball with a radius of 3 inches, the volume would be calculated as follows:
1 dzień temu · Consider a sphere with a radius of \( 5.6 \mathrm{~m} \). Using the ALEKS calculator, approximate the volume of the sphere. To do the approximation, do not round any intermediate steps, and use the \( \pi \) button on the calculator. Round your answer to the nearest hundredth. If necessary, refer to the list of geometry formulas.
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 ...
6 dni temu · The volume of a cone is \(\frac { 1 } { 3 } \pi r ^{ 2 } h \), where \(r\) denotes the radius of the base of the cone, and \(h\) denotes the height of the cone.
