If the radius and slant height of cone is 8 cm and 10 cm respectively,

1.	If the radius and slant height of cone is 8 cm and 10 cm respectively,then its height is?
Answer» Given : – Radius of the CONE = 8cm . SLANT height of the cone = 10CM . To Find : – Height of the cone ? _______________________ $\setlength{\unitlength}{0.99cm}\begin{picture}(6, 4)\linethickness{0.26mm}\qbezier(5.8,2.0)(5.8,2.3728)(4.9799,2.6364)\qbezier(4.9799,2.6364)(4.1598,2.9)(3.0,2.9)\qbezier(3.0,2.9)(1.8402,2.9)(1.0201,2.6364)\qbezier(1.0201,2.6364)(0.2,2.3728)(0.2,2.0)\qbezier(0.2,2.0)(0.2,1.6272)(1.0201,1.3636)\qbezier(1.0201,1.3636)(1.8402,1.1)(3.0,1.1)\qbezier(3.0,1.1)(4.1598,1.1)(4.9799,1.3636)\qbezier(4.9799,1.3636)(5.8,1.6272)(5.8,2.0)\put(0.2,2){\line(1,0){2.8}}\put(3.2,4){\sf{<klux>H</klux>}}\put(3,2){\line(0,2){4.5}}\put(1.5,1.7){\sf{8cm}}\qbezier(.2,2.05)(.7,3)(3,6.5)\qbezier(5.8,2.05)(5.3,3)(3,6.5)\put(0.55,4){\sf{10cm}}\put(3,2.02){\circle{0.15}}\put(2.7,2){\dashbox{0.01}(.3,.3)}\end{picture}$ _______________________ From PYTHAGORAS theorem* – ( slant height )² = ( height )² + ( radius )² → 10² = h² + 8² → h² = 10² - 8² → h² = 100 - 64 → h² = 36 → h = √36 → h = 6 So, height of the cone is 6 cm .

If the radius and slant height of cone is 8 cm and 10 cm respectively,then its height is?

Answer»

Given : –

Radius of the CONE = 8cm .
SLANT height of the cone = 10CM .

To Find : –

Height of the cone ?

_______________________

$\setlength{\unitlength}{0.99cm}\begin{picture}(6, 4)\linethickness{0.26mm}\qbezier(5.8,2.0)(5.8,2.3728)(4.9799,2.6364)\qbezier(4.9799,2.6364)(4.1598,2.9)(3.0,2.9)\qbezier(3.0,2.9)(1.8402,2.9)(1.0201,2.6364)\qbezier(1.0201,2.6364)(0.2,2.3728)(0.2,2.0)\qbezier(0.2,2.0)(0.2,1.6272)(1.0201,1.3636)\qbezier(1.0201,1.3636)(1.8402,1.1)(3.0,1.1)\qbezier(3.0,1.1)(4.1598,1.1)(4.9799,1.3636)\qbezier(4.9799,1.3636)(5.8,1.6272)(5.8,2.0)\put(0.2,2){\line(1,0){2.8}}\put(3.2,4){\sf{<klux>H</klux>}}\put(3,2){\line(0,2){4.5}}\put(1.5,1.7){\sf{8cm}}\qbezier(.2,2.05)(.7,3)(3,6.5)\qbezier(5.8,2.05)(5.3,3)(3,6.5)\put(0.55,4){\sf{10cm}}\put(3,2.02){\circle*{0.15}}\put(2.7,2){\dashbox{0.01}(.3,.3)}\end{picture}$

_______________________

From PYTHAGORAS theorem –

( slant height )² = ( height )² + ( radius )²

→ 10² = h² + 8²

→ h² = 10² - 8²

→ h² = 100 - 64

→ h² = 36

→ h = √36

→ h = 6

So, height of the cone is 6 cm .