Difference between revisions of "List of formulae"
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|CYLINDER | |CYLINDER | ||
|<math>2{\pi}rh</math> | |<math>2{\pi}rh</math> | ||
| + | Where r is the radius of circular base | ||
|<math>2{\pi}r(r+h)</math> | |<math>2{\pi}r(r+h)</math> | ||
where "h" is the height of cylinder | where "h" is the height of cylinder | ||
| Line 45: | Line 46: | ||
Where l is the slant height | Where l is the slant height | ||
|<math>{\pi}r(l+r)</math> | |<math>{\pi}r(l+r)</math> | ||
| + | Where r is the radius of circular base | ||
|<math>\frac{1}{3}{\pi}r^2h</math> | |<math>\frac{1}{3}{\pi}r^2h</math> | ||
| + | Where h is the height or depth of the cone | ||
|- | |- | ||
|FRUSTUM OF CONE | |FRUSTUM OF CONE | ||
| Line 51: | Line 54: | ||
Where l=<math>\sqrt{h^2+(r_{1}-r_{2})^2}</math> | Where l=<math>\sqrt{h^2+(r_{1}-r_{2})^2}</math> | ||
|<math>π{{(r_{1}+r_{2})l+r_{1}^2+r_{2}^2}}</math> | |<math>π{{(r_{1}+r_{2})l+r_{1}^2+r_{2}^2}}</math> | ||
| − | Where | + | Where r_{1} & r_{2} are the radii of two bases(r_{1}>r_{2}) |
|<math>\frac{1}{3}{\pi}h(r_{1}^2+r_{2}^2+r_{1}r_{2})</math> | |<math>\frac{1}{3}{\pi}h(r_{1}^2+r_{2}^2+r_{1}r_{2})</math> | ||
| + | Where h is the height or depth of the frustum ofcone | ||
|- | |- | ||
|SPHERE | |SPHERE | ||
Revision as of 15:10, 15 August 2014
Algebraic Identities
Geometric Results
Formulae for commercial arithmetic
Statistical Formulae
Mensuration
Area and Perimeter of Plane Figures
| Shape | Perimeter | Area |
| Triangle | (a+b+c), where a, b, c are sides |
where "h" is the height from any vertex to the opposite side "b" |
| Circle | ||
| type square root |
LSA(CSA) TSA & VOLUME of solid Figures
| Name of the Solid | LSA(CSA)in sq.units | TSA in sq.units | VOLUME in cubic units |
| CYLINDER |
Where r is the radius of circular base |
where "h" is the height of cylinder |
|
| CONE |
Where l is the slant height |
Where r is the radius of circular base |
Where h is the height or depth of the cone |
| FRUSTUM OF CONE |
Where l= |
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle π{{(r_{1}+r_{2})l+r_{1}^2+r_{2}^2}}}
Where r_{1} & r_{2} are the radii of two bases(r_{1}>r_{2}) |
Where h is the height or depth of the frustum ofcone |
| SPHERE | |||
| HEMISPHERE |
