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Show that the height of a closed cylinder of given volume and the least surface area is equal to its diameter.
cbse
class12
modelpaper
2012
sec-c
q24
math
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Feb 8, 2013
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Show that the right-circular cone of least curved surface and given volume has an altitude equal to \( \sqrt 2 \) times the radius of the base.
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Show that the right circular cone of least curved surface and given volume has an altitude equal to \( \sqrt 2\) times the radius of the base.
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Show that the height of the cylinder of maximum volume that can be inscribed in a cone of height \( h \: is \: \frac{1}{3}h\)
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Feb 11, 2013
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Show that the volume of the greatest cylinder that can be inscribed in a cone of height 'h' and semi-vertical angle \( \alpha \) is \( \large\frac{4}{27}\pi h^3\tan^2 \alpha \).
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Feb 4, 2013
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Show that the volume of the greatest cylinder which can be inscribed in a cone of height h and semivertical angle $ \alpha, \: is \: \large\frac{4}{27}$$ \pi \: h^3\: tan^2\: \alpha $
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Feb 3, 2013
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cbse
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