Math, asked by rachu4116, 9 months ago

Find the height of cone of diametet 10cm and slant height 13cm

Answers

Answered by Anonymous
4

Answer:

\large\boxed{\sf{12\;cm}}

Step-by-step explanation:

Diameter of the cone = 10 cm

.°. Radius , r = 5 cm

Slant height, l = 13 cm

Let, the height be 'h' cm

Therefore, we have,

  =  > {h}^{2}  =  {l}^{2}  -  {r}^{2}  \\  \\  =  > h =  \sqrt{ {l}^{2} -  {r}^{2}  }  \\  \\  =  > h =  \sqrt{ {(13)}^{2} -  {(5)}^{2}  }  \\  \\  =  > h =  \sqrt{169 - 25}  \\  \\  =  > h =  \sqrt{144}  \\  \\  =  > h = 12 \: cm

Hence, Height of cone is 12 cm

Answered by royal171gmailcom
0

Answer:

the answer is completed

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