Question

what is the hight of cone of diameter 30 m and slate hight 25 m​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

$\huge\bold{\gray{\sf{Answer:}}}$

$\bold{Explanation:}$

Given :

Diameter =30m

Slant height is 25m

To Find :

Height of the cone

=>Slant height is the shortest distance between the base and the top of the surface of a solid figure like cone.It includes surface from one face of a cone whereas normal height is only the perpendicular distance from the ground (base) to the top.

=>Normal height is the vertical(perpendicular) distance from the base to the top of a cone.

slant height is denoted by 'l'

formula for finding slant height is :

$\bold{\purple{\boxed{ {l}^{2} = {h}^{2} + {r}^{2} }}}$

Diameter is twice of radius or radius is half of its Diameter.

R=D/2=30/2=15m

$\sf= > {(25)}^{2} = {h}^{2} + {(15)}^{2}$

$\sf= > 625 = {h}^{2} + 225$

$\sf= > {h}^{2} = 625 - 225 = 400$

$\sf h = \sqrt{400} = 20m$

$\therefore$Height of the cone is 20m