Sphere & Solid Geometry

Surface area and volume of spheres, cones, and cylinders

V = 4⁄3·π·r³ A = 4·π·r²
Volume
523.5988
Surface area
314.1593
Great-circle area
78.5398
Diameter
10
Cross-section of the selected solid with its radius and height labeled.Cross-section of the selected solid with its radius and height labeled.r

About this calculator

The Sphere & Solid Geometry Calculator finds the volume and surface area of a sphere, cone, or cylinder from its radius and height. It also reports the slant height, lateral and base areas, great-circle area, and diameter, with an explanatory cross-section diagram. Useful for geometry homework, engineering, and 3D design.

Common examples

  • Sphere with r = 1 → volume ≈ 4.18879, surface area = 4π ≈ 12.56637
  • Sphere with r = 5 → volume ≈ 523.59878, surface area = 100π ≈ 314.15927
  • Cone with r = 3, h = 4 → slant height 5, volume = 12π ≈ 37.69911, surface area = 24π ≈ 75.39822
  • Cylinder with r = 2, h = 5 → volume = 20π ≈ 62.83185, surface area = 28π ≈ 87.96459
  • Cone with r = 6, h = 8 → slant height 10, lateral area = 60π ≈ 188.49556