Revision as of 20:40, 15 August 2014

Algebraic Identities

Shape	Perimeter	Area
Triangle	(a+b+c), where a, b, c are sides	${\frac {1}{2}}bh$ where "h" is the height from any vertex to the opposite side "b"
Circle	$2{\pi }r$	${\pi }*r^{2}$
type square root		${\sqrt {25}}$

Name of the Solid	LSA(CSA)in sq.units	TSA in sq.units	VOLUME in cubic units
CYLINDER	$2{\pi }rh$ Where r is the radius of circular base	$2{\pi }r(r+h)$ where "h" is the height of cylinder	${\pi }r^{2}h$
CONE	${\pi }rl$ Where l is the slant height	${\pi }r(l+r)$ Where r is the radius of circular base	${\frac {1}{3}}{\pi }r^{2}h$ Where h is the height or depth of the cone
FRUSTUM OF CONE	${\pi }(r_{1}+r_{2})l$ Where l= ${\sqrt {h^{2}+(r_{1}-r_{2})^{2}}}$	Failed to parse (syntax error): {\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})	${\frac {1}{3}}{\pi }h(r_{1}^{2}+r_{2}^{2}+r_{1}r_{2})$ Where h is the height or depth of the frustum ofcone
SPHERE	$4{\pi }r^{2}$	$4{\pi }r^{2}$	${\frac {4}{3}}{\pi }r^{3}$
HEMISPHERE	$2{\pi }r^{2}$	$3{\pi }r^{2}$	${\frac {2}{3}}{\pi }r^{3}$

@@ Line 37: / Line 37: @@
 |CYLINDER
 |<math>2{\pi}rh</math>
+Where r is the radius of circular base
 |<math>2{\pi}r(r+h)</math>
 where "h" is the height of cylinder
@@ Line 45: / Line 46: @@
 Where l is the slant height
 |<math>{\pi}r(l+r)</math>
+Where r is the radius of circular base
 |<math>\frac{1}{3}{\pi}r^2h</math>
+Where h is the height or depth of the cone
 |-
 |FRUSTUM OF CONE
@@ Line 51: / Line 54: @@
 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>
-Where l=<math>\sqrt{h^2+(r_{1}-r_{2})^2}</math>
+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>
+Where h is the height or depth of the frustum ofcone
 |-
 |SPHERE