Question

the diameter of the base of a cone is 14 cm and it's slant height is 25 cm .what is the vertical height

Answer 1

here is your answer

d = 14 cm
r = 7 cm
slant height (l) = 25 cm


(l)² = (h)²+(r)²
(h)^2 = (l)^2 - (r)^2
(h)^2 = (25)²-(7)²

h=root 576 = 24 cm

vertical height = 24 cm [ This is your answer ]



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Answer 2

Hey friend,

Here is your answer,
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Diameter = 14 cm
Radius = 7 cm
Slant Height = 25 cm

Vertical Height = $\sqrt{25^2 - 7^2}$
                        = $\sqrt{625 - 49}$
                        = $\sqrt{576}$
                        = $24$

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