Sphere Surface Area Calculator

Where r is the radius of the sphere.

Calculate the surface area of a sphere with radius 6 cm:

Result: 452.39 cm²

1. Enter the radius of the sphere
2. Click "Calculate" to see the surface area

• Volume: $\\frac{4}{3} \\pi r^3$
• Diameter: $2r$
• Radius from surface area: $r = \\sqrt{\\frac{\\text{area}}{4\\pi}}$

• A sphere is perfectly symmetrical
• All points on the surface are equidistant from the center
• It has the largest volume for a given surface area of any shape

• Manufacturing (paint, coating calculations)
• Physics and engineering
• Architecture (domes)
• Sports (ball design)
• Space science

What is the surface area to volume ratio? For a sphere, it's $\\frac{3}{r}$. Smaller spheres have higher ratios.

Can I calculate the area of a hemisphere? Yes, $3 \\pi r^2$ (including the base) or $2 \\pi r^2$ (curved surface only).

How do I find the radius from the volume? $r = \\sqrt[3]{\\frac{3V}{4\\pi}}$

Is the formula exact? Yes, it's mathematically exact. Use sufficient precision for π.

What about ellipsoids? For an ellipsoid with semi-axes a, b, c, the surface area is more complex: approximately $4 \\pi \\sqrt[3]{\\frac{(ab)^{1.6} + (ac)^{1.6} + (bc)^{1.6}}{3}}$