Mathematics, 28.08.2019 23:00 stefaniethibodeaux
Aright circular cone is inscribed inside a larger right circular cone with a volume of 190 cm3. the axes of the cones coincide and the vertex of the inner cone touches the center of the base of the outer cone. find the ratio of the heights of the cones that maximizes the inner cone volume.
Answers: 3
![V=\frac{\pi }{3}R^2\left [ 1-\frac{h}{H}\right ]^2h](/tpl/images/0206/9560/8bdfd.png)
![V=\frac{\pi }{3}R^2H\left [ 1+\frac{h^2}{H^2}+-2\cdot \frac{h}{H}\right ]^2\frac{h}{H}](/tpl/images/0206/9560/6cddc.png)
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Aright circular cone is inscribed inside a larger right circular cone with a volume of 190 cm3. the...
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