Show that the volume of the greatest cylinder that can be inscribed...

Channel:
PW Solutions
Subscribers:
453,000
Published on ● Video Link: https://www.youtube.com/watch?v=bG7bv-Jv0gY


Duration: 0:00
131 views
3

Show that the volume of the greatest cylinder that can be inscribed in a cone of height 'h' and
\( \mathrm{P} \) semi-vertical angle ' \( \alpha \) 'is \( \frac{4}{27} \pi h^{3} \tan ^{2} \alpha \).

W
📲 PW App Link - https://bit.ly/YTAI_PWAP
🌐 PW Website - https://www.pw.live/



Other Videos By PW Solutions


2023-02-25If \( \int_{0}^{n \pi} \frac{x|\sin x|}{1+|\cos x|} d x(n \in N) \)...
2023-02-25Prove that: \( \mathrm{P} \) \[ \int_{\alpha}^{\beta} \frac{d x}{x ...
2023-02-25Prove that: \( \int_{\alpha}^{\beta} \sqrt{(x-\alpha)(\beta-x)} d x...
2023-02-25A variable \( \triangle \mathrm{ABC} \) in the xy plane has its ort...
2023-02-25Let \( \mathrm{f} \) defined on \( [0,1] \) be a twice differentiab...
2023-02-25Let \( \mathrm{C} \) be the curve \( \mathrm{f}(\mathrm{x})=\ln ^{2...
2023-02-25Find a point on the culve \( y=(x-2)^{2} \) at which the tangent is...
2023-02-25Prove that the curves \( x=y^{2} \) and \( x y=k \) cut at right an...
2023-02-25Find the equation of tangent to the curve \( x^{2}+3 y-3=0 \), whic...
2023-02-25Find the volume of the largest cylinder that can be inscribed in a ...
2023-02-25Show that the volume of the greatest cylinder that can be inscribed...
2023-02-25The length of the sides of an isosceles triangle are \( 9+x^{2}, 9+...
2023-02-25Show that the right circular cylinder, open at the top, and of give...
2023-02-25The sum of the perimeter of a circle and a square is \( \mathrm{K} ...
2023-02-25If the sum of hypotenuse and a side of a right angled triangle is g...
2023-02-25Prove that the surface area of a solid cuboid, of square base and g...
2023-02-25The tangent to the curve \( y=e^{x} \) drawn at the point \( \left(...
2023-02-25Find the equation of tangent to the curve \( y=\sqrt{3 x-2} \), whi...
2023-02-25A manufacturer can sell \( x \) items at a price of Rs. \( \left(5-...
2023-02-25A box contains three coins two of them are fair and one two - heade...
2023-02-25Show that the height of the cylinder of maximum volume that can be ...