Question

a cone has a base of radius 3 cm and slant height 5 find its height​

Answer 1

As we know that :

Slant height of cone l = √h²+r²

Here, h = Height of cone and r = radius of base of the cone

Now, according to the question :

5 = √h²+3²

=> 5² = h²+9

=> 25-9 = h²

=> h² = 16

=> h = 4 cm

So, the height of cone will be 4 cm

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Answer 2

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

then

l=5

r=3

${5}^{2} = {h}^{2} + {3}^{2}$

$25 - 9 = {h}^{2}$

$16 = {h}^{2}$

$h = \sqrt{16}$

h=4

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