Math calculators
Solid Geometry Calculators
21 tools
Sphere, cylinder, cone, platonic solids, frustum, and spherical caps. Not the solid-geometry calculator slug. Tools may appear in more than one topic.
Popular in Solid Geometry
Featured tools from the Family registry.
- Solid Geometry Calculator Right circular sphere, cylinder, cone, ring torus, conical frustum, right rectangular prism, right rectangular pyramid, regular tetrahedron, regular octahedron, regular icosahedron, regular dodecahedron, regular n-gon prism, regular n-gon pyramid, regular n-gon frustum, ellipsoid, spherical cap, spherical zone, spherical wedge, spherical lune, and spherical sector. Discovery /sphere, /cylinder, /cone, /torus, /frustum, /prism, /pyramid, /tetrahedron, /octahedron, /icosahedron, /dodecahedron, /regular-prism, /regular-pyramid, /regular-frustum, /ellipsoid, /spherical-cap, /spherical-zone, /spherical-wedge, /spherical-lune, /spherical-sector. Not the circle-only page. Not a vector. Not ISO 5167-5. Not CAS. Runs locally.
- Sphere Calculator Sphere V = (4/3)πr³ and A = 4πr². Same engine as Solid Geometry. Not the circle-only page. Not CAS. Runs locally.
- Cylinder Calculator Right circular cylinder V = πr²h and A = 2πr(r+h). Same engine as Solid Geometry. Not CAS. Runs locally.
- Cone Calculator Right circular cone V = (1/3)πr²h and slant l = √(r²+h²). Same engine as Solid Geometry. Not ISO 5167-5. Not CAS. Runs locally.
- Tetrahedron Calculator Regular tetrahedron V = a³√2/12 and A = a²√3 from one edge. Same engine as Solid Geometry. Not a rectangular pyramid. Not an octahedron. Not CAS. Runs locally.
All Solid Geometry
Every live calculator in this family. URLs stay /calc/math/…
- Cone Calculator Right circular cone V = (1/3)πr²h and slant l = √(r²+h²). Same engine as Solid Geometry. Not ISO 5167-5. Not CAS. Runs locally.
- Cylinder Calculator Right circular cylinder V = πr²h and A = 2πr(r+h). Same engine as Solid Geometry. Not CAS. Runs locally.
- Dodecahedron Calculator Regular dodecahedron V = (1/4)(15+7√5)a³ and A = 3√(25+10√5) a² from one edge. Same engine as Solid Geometry. Not an icosahedron. Not an n-gon prism. Not CAS. Runs locally.
- Ellipsoid Calculator Ellipsoid V = 4/3 πabc and surface from the exact elliptic-integral model, numerically evaluated. a = b = c is a sphere. Same engine as Solid Geometry. Not /sphere. Not the 2-D ellipse. Not CAS. Runs locally.
- Frustum Calculator Right circular frustum V = (1/3)πh(R²+Rr+r²) from two radii and height. Same engine as Solid Geometry. Not /cone. Not ISO 5167-5. Not CAS. Runs locally.
- Icosahedron Calculator Regular icosahedron V = (5/12)(3+√5)a³ and A = 5√3 a² from one edge. Same engine as Solid Geometry. Not an octahedron. Not a dodecahedron. Not CAS. Runs locally.
- Octahedron Calculator Regular octahedron V = (√2/3)a³ and A = 2√3 a² from one edge. Same engine as Solid Geometry. Not a tetrahedron. Not an icosahedron. Not CAS. Runs locally.
- Prism Calculator Right rectangular prism V = abh from three edge lengths. Same engine as Solid Geometry. Not a frustum. Not a pyramid. Not CAS. Runs locally.
- Pyramid Calculator Right rectangular pyramid V = abh/3 from three lengths. Same engine as Solid Geometry. Not a prism. Not a tetrahedron. Not CAS. Runs locally.
- Regular Frustum Calculator Regular n-gon frustum V = h/3 (A+a+√(Aa)) from n, two sides, and height. Bases from Regular Polygon. Same engine as Solid Geometry. Not /frustum. Not /regular-pyramid. Not CAS. Runs locally.
- Regular Prism Calculator Regular n-gon prism V = A h with A = (n s²)/(4 tan(π/n)) from n, side, and height. Base from Regular Polygon. Same engine as Solid Geometry. Not /prism. Not /regular-pyramid. Not CAS. Runs locally.
- Regular Pyramid Calculator Regular n-gon pyramid V = A h/3 with A = (n s²)/(4 tan(π/n)) from n, side, and height. Base from Regular Polygon. Same engine as Solid Geometry. Not /pyramid. Not a tetrahedron. Not CAS. Runs locally.
- Solid Geometry Calculator Right circular sphere, cylinder, cone, ring torus, conical frustum, right rectangular prism, right rectangular pyramid, regular tetrahedron, regular octahedron, regular icosahedron, regular dodecahedron, regular n-gon prism, regular n-gon pyramid, regular n-gon frustum, ellipsoid, spherical cap, spherical zone, spherical wedge, spherical lune, and spherical sector. Discovery /sphere, /cylinder, /cone, /torus, /frustum, /prism, /pyramid, /tetrahedron, /octahedron, /icosahedron, /dodecahedron, /regular-prism, /regular-pyramid, /regular-frustum, /ellipsoid, /spherical-cap, /spherical-zone, /spherical-wedge, /spherical-lune, /spherical-sector. Not the circle-only page. Not a vector. Not ISO 5167-5. Not CAS. Runs locally.
- Sphere Calculator Sphere V = (4/3)πr³ and A = 4πr². Same engine as Solid Geometry. Not the circle-only page. Not CAS. Runs locally.
- Spherical Cap Calculator Spherical cap V = (1/3)πh²(3r−h) from sphere radius and cap height. h = r is a hemisphere. h = 2r is a sphere. Same engine as Solid Geometry. Not /sphere. Not CAS. Runs locally.
- Spherical Lune Calculator Spherical lune A = 2r²θ from sphere radius and dihedral angle. Same engine as Solid Geometry. Not /spherical-wedge. Not /spherical-cap. Not /sphere. Not CAS. Runs locally.
- Spherical Sector Calculator Spherical sector V = (2/3)πr²h from sphere radius and cap height. h = r is a hemisphere. h = 2r is a sphere. Same engine as Solid Geometry. Not /spherical-cap. Not /cone. Not /sphere. Not CAS. Runs locally.
- Spherical Wedge Calculator Spherical wedge V = (2/3)r³θ from sphere radius and dihedral angle. Same engine as Solid Geometry. Not /spherical-cap. Not /spherical-zone. Not /sphere. Not CAS. Runs locally.
- Spherical Zone Calculator Spherical zone V = (πh/6)(3a²+3b²+h²) from two parallel base radii and height. Same engine as Solid Geometry. Not /spherical-cap. Not /sphere. Not CAS. Runs locally.
- Tetrahedron Calculator Regular tetrahedron V = a³√2/12 and A = a²√3 from one edge. Same engine as Solid Geometry. Not a rectangular pyramid. Not an octahedron. Not CAS. Runs locally.
- Torus Calculator Ring torus V = 2π² R r² and A = 4π² R r with major R > tube r. Same engine as Solid Geometry. Not a sphere. Not horn or spindle. Not CAS. Runs locally.