19 янв. 2014 г. · I believe the expression dV you are looking for is: dV=∂V∂rdr+∂V∂hdh=(2/3πrh)dr+(1/3πr2)dh. |
27 июн. 2019 г. · The volume of water is changing linearly, but the height and volume are related nonlinearly. That is why h(t) is non-linear. |
7 февр. 2019 г. · As Wolfgang Kais states in his answer, the formula for the volume of a cone is. V=πr2h3. As the question, and OP, states, the radius is ... |
25 окт. 2016 г. · Find the equation for the rate of change of the volume V, where V=13πr2h and the radius r and the height h are both functions of time t. Не найдено: dv/ | Нужно включить: dv/ |
14 февр. 2019 г. · I got my answer by finding dh/dt using chain rule so dh/dv * dv/dr. I derived the volume after eliminating r for one and h for the other and ... |
12 сент. 2020 г. · The conical egg timer is an upside-down cone, so its volume is V=1 ... Why isn't the derivative of the volume of the cone its surface area? |
12 мар. 2014 г. · The volume V of the water in the cone is: V = 1/3*pi*R^2*h = 1/12*pi*h^3. So: pi = dV/dt = 1/4*pi*h^2*dh/dt = 1/4*pi*(1/(4*r^2))*dh/dt ==> dh/dt ... |
18 июн. 2018 г. · Then I took the derivative with respect to t. I will write dv/dt as v' and dh/dt as h'. So,. v' = (pi (3h^2) h') / 27 = (3pi h^2 h') / 27 ... |
17 дек. 2013 г. · The volume is given by: V=13πr2h. You are given dVdt, so you will have to take the derivative of the volume function with respect to time. |
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