A cylinder is inscribed in a cone. The cylinder has an altitude of 15 cm and a radius of 3 cm. Express H as a function of R.
Thanks!
Hello, katinthehat108!
I think I know what you meant . . .
A cylinder is inscribed in a cone.
The cylinder has an altitude of 15 cm and a radius of 3 cm.
Express H (height of the cone) as a function of R (radius of the cone).Code:- * - : /|\ : : / |:\ H-15 : / |::\ : : *---+---* - H /| | 3 |\ : : / | | |:\ 15 : / | | 15|::\ : : / | | |:::\ : : / | | |::::\ : - *-----*---+---*-----* - : 3 : R-3 : : -- R -- :
The two shaded triangles are similar.
Hence, we have: .
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