Calculate sphere surface area, volume, radius, and diameter with step-by-step solutions. Perfect for geometry, physics, and engineering calculations.
Comprehensive sphere calculations with detailed explanations
Calculate sphere surface area
Calculate sphere volume
Calculate radius and diameter
Calculate sphere circumference
Understanding sphere geometry and calculations
Input radius, diameter, surface area, or volume.
Use appropriate sphere formulas for calculations.
Receive all sphere properties with step-by-step solutions.
A = 4πr²
V = (4/3)πr³
C = 2πr
d = 2r
Common sphere calculations and their results
Surface Area: 113.1 cm²
Surface Area: 615.8 m²
Surface area: 50.27 mm²
Surface area: 78.54 m²
Common questions about sphere surface area calculations
The surface area of a sphere is the total area of its curved surface. It's calculated using the formula A = 4πr², where r is the radius of the sphere.
Use the formula A = 4πr², where r is the radius. Square the radius, multiply by 4, and then multiply by π (approximately 3.14159).
Surface area is the area of the sphere's outer surface, while volume is the amount of space inside the sphere. Surface area uses A = 4πr², volume uses V = (4/3)πr³.
Rearrange the formula: r = √(A/(4π)). Take the surface area, divide by 4π, and then take the square root of the result.
Sphere surface area is used in manufacturing (ball bearings), engineering (storage tanks), physics (surface tension), astronomy (planet surface calculations), and architecture (domes).
Convert the radius to the desired unit before calculating. For surface area, the result will be in the squared unit (e.g., cm², m², in²).
Since diameter = 2r, you can substitute d/2 for r in the surface area formula: A = 4π(d/2)² = πd². The surface area is proportional to the square of the diameter.
The calculations use the mathematical constant π (pi) with high precision. Results are typically accurate to several decimal places, depending on the input precision.
Yes! From surface area, you can calculate radius, diameter, volume, and circumference. Our calculator provides all these properties automatically.
Common values include: r=1cm → A=12.57cm², r=5cm → A=314.16cm², r=1m → A=12.57m². The Earth has a surface area of approximately 5.10×10⁸ km².
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