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

2 thoughts on “<br />Find the height of cone, if its slant height is 34 cm and base diameter is 32 cm.<br />OR​”

1. 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:

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2. Given that :

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

   As we know that :

   [tex] {l}^{2} = {h}^{2} + {r}^{2} [/tex]

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

   Now,

   [tex] = > {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[/tex]

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

   _______________________________

   Hope it helps ☺

   Fóllòw Më ❤

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