Hello, katinthehat108!

IthinkI 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: .

. . . .

. . . .