Question

Find the height of cone, if its slant height is 34 cm and base diameter is 32 cm.
OR​

Answer 1

Given that :

Slant height L = 34 cm. and Diameter = 32 cm.

As we know that :

${l}^{2} = {h}^{2} + {r}^{2}$

where, l = slant height, h = height of the cone and r = radius of the base of the cone

Now,

$= > {h}^{2} = {l}^{2} - {r}^{2} \\ \\ = > h = \sqrt{ {l}^{2} - {r}^{2} } \\ \\ = > h = \sqrt{ {(34)}^{2} - { (\frac{32}{2} )}^{2} } \\ \\ = > h = \sqrt{1156 - {(16)}^{2} } \\ \\ = > h = \sqrt{1156 - 256} \\ \\ = > h = \sqrt{900} = 30$

So, the height of the cone will be 30 cm. ✔✔

_______________________________

Hope it helps ☺

Fóllòw Më ❤

Answer 2

Answer:

Circular Cone Formulas in terms of radius r and height h:

Slant height of a cone: s = √(r² + h²)

                                     34=√(32/2)²+h²

                                      34=√(16² +h²)

                             on squaring both sides

                                  1156=16²+h²

                               1156-256=h²

                               h²=900

Step-by-step explanation: