A cone has a slant height of $$25$$ inches and a radius of $$7$$ inches as shown. What is the height, h, in inches, of the cone? ![](https://cdn.mathpix.com/cropped/2023_04_26_65bfb09cb10aa10cc36ag-03.jpg?height=817&width=916&top_left_y=1596&top_left_x=547)

Given that, Slant height $$(I)=25$$ inches Radius $$(r)=7$$ inches By Pythagoras theorem, $$h^{2}+r^{2}=l^{2}$$ Putting the values, $$h^{2}+7^{2}=25^{2}$$ $$h^{2}=625-49=576$$ $$h=\sqrt{576}=24 {in}$$.

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A cone has a slant height of $25$ inches and a radius of $7$ inches as shown.

What is the height, h, in inches, of the cone?

Select all that apply :

$24$

$29$

$40$

$19$

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