Take both volumes, viz.: pi r^2 h to be < 4/3 pi a^3,
to distinguish between radii of the 2 figures, let us call the radius of the sphere a
pi is divided out
r^2 h < 4/3 a^3
It is time to take the derivate in order to find the maximal r, but the 4/3 a^3 in case of differentiating on r, is a constant, and is lost in the derivative. With thus all useful info is lost. But I see no way to retain the constant in the derivative. Or is there a cleverer way? thank you
与恶龙缠斗过久,自身亦成为恶龙；凝视深渊过久,深渊将回以凝视…
