Show that height of the cylinder of greatest volume which can be inscribed in a right circular cone of height ' \( h \) ' and semi vertical angle ' \( \alpha \) ' is one-third that of the cone and the -greatest volume of cylinder is \( \frac{4}{27} \pi h^{3} \tan ^{2} \alpha \). 📲PW App Link - https://bit.ly/YTAI_PWAP 🌐PW Website - https://www.pw.live