A right circular cone with radius \( R \) and height \( H \) contains a liquid which evaporates ...

Channel:
Subscribers:
445,000
Published on ● Video Link: https://www.youtube.com/watch?v=sRxpAoWmGgg



Duration: 8:48
5 views
0


A right circular cone with radius \( R \) and height \( H \) contains a liquid which evaporates at a rate proportional to its surface area in contact with air (proportionality constant \( =k0 \) ). Suppose that \( r(t) \) is the radius of liquid cone at time \( t \).
The radius of water cone at \( t=1 \) is
(a) \( R[1-k / H] \)
(b) \( R[1-H / k] \)
(c) \( R[1+H / \mathrm{k}] \)
(d) \( R[1=k / H] \)
šŸ“²PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2022-11-19If \( \frac{\mathrm{d} y}{\mathrm{~d} x}-x \tan (y-x)=1, y(0)=\pi / 2 \) then the value of \( \s...
2022-11-19If the curve satisfying \( \left(1+e^{x / y}\right) \mathrm{d} x+e^{x / y}(1-x / y) \mathrm{d} y...
2022-11-19The solution of the differential equation \( \left(x^{2} \sin ^{3} y-y^{2} \cos x\right) d x+\le...
2022-11-19The orthogonal trajectories of the family of curves \( x y=k^{2} \) are (a) rectangular hyperbol...
2022-11-19A curve passing through origin, all the normals to which pass through \( \left(x_{0}, y_{0}\righ...
2022-11-19\( p \wedge q \rightarrow p \) is (A) a tautology (B) a contradiction (C) neither a tautology no...
2022-11-19A right circular cone with radius \( R \) and height \( H \) contains a liquid which evaporates ...
2022-11-19If the curve satisfying \( \left(x y^{4}+y\right) \mathrm{d} x-x \mathrm{~d} y=0 \) passes throu...
2022-11-19If the curve satisfying \( y \mathrm{~d} x+\left(x+x^{2} y\right) \mathrm{d} y=0 \) passes throu...
2022-11-19A right circular cone with radius \( R \) and height \( H \) contains a liquid which evaporates ...
2022-11-19A right circular cone with radius \( R \) and height \( H \) contains a liquid which evaporates ...
2022-11-19If the solution of \( \frac{x}{x^{2}+y^{2}} \quad \mathrm{~d} y=\left(\frac{y}{x^{2}+y^{2}}-1\ri...
2022-11-19The differential equation of parabola with axis parallel to \( y \)-axis and length of latus rec...
2022-11-19The degree of the differential equation whose primitive is \( c^{2}+2 c y+a^{2}-x^{2}=0 \), wher...
2022-11-19The solution of the equation \( (2 x+y+1) \mathrm{d} x+(4 x+ \) \( 2 y-1) \mathrm{d} y=0 \) is (...
2022-11-19Let \( F(x)=\int_{x^{2}}^{x^{3}} \frac{d t}{\log t}, x0 \). then (a) \( f^{\prime}(x)=-1 / 6 \lo...
2022-11-19The particular solution of \( t\left(1+t^{2}\right) d x=\left(x+x t^{2}-t^{2}\right) d t,\left.x...
2022-11-19The absolute value of \( \int_{10}^{19} \frac{\sin x}{1+x^{8}} \mathrm{~d} x \) is (a) less than...
2022-11-19The particular solution of \( \log \frac{\mathrm{d} y}{\mathrm{~d} x}=3 x+4 y, y(0)= \) 0 is (a)...
2022-11-19\( \int_{\pi / 2}^{3 \pi / 2}[2 \sin x] d x \) is equal to \( ([x] \) denotes the greatest integ...
2022-11-19If \( I_{1}=\int_{x}^{1} \frac{d t}{1+t^{2}} \) and \( I_{2}=\int_{1}^{1 / x} \frac{d t}{1+t^{2}...



Tags:
pw