Question

find the height of a cone of diameter 10cm and slant height 13cm

Answer 1

Diameter =10 cm
Radius =d/2=10/2=5cm(r)
Slant height =13cm(l)
Let height of cone be h
${l}^{2} = {h }^{2} + {r}^{2} \\ h = \sqrt{ {l}^{2} - {r}^{2} } \\ h = \sqrt{ {13}^{2} - {5}^{2} } \\ h = \sqrt{169 - 25 } \\ h = \sqrt{144} \\ h = 12cm$

Hope it helps you
Please mark it as brainliest

Answer 2

here given diameter of the cone =10cm...

radius =5cm...

slant height =13 cm...

let the height be h ...

l² = h²+r²

h= √l²-r²

h=√13²-5²

h=√169-25

h=√144

h=12cm....

HOPE THIS HELPED U..