Mathematics, 20.11.2020 14:00 133596
The radius of a right circular cone is increasing at a rate of 1.4 in/s while its height is decreasing at a rate of 2.1 in/s. At what rate is the volume of the cone changing when the radius is 120 in. and the height is 175 in.
Answers: 2
![\dfrac{dV}{dt}=\dfrac{1}{3}\pi\times \left[(r^2\dfrac{dh}{dt}) + h(2r\dfrac{dr}{dt})\right]](/tpl/images/0917/1626/cc9cc.png)
![\dfrac{dV}{dt}=\dfrac{1}{3}\times \dfrac{22}{7}\times \left[(120)^2(-2.1) +175(2)(120)(1.4)\right]](/tpl/images/0917/1626/9eb10.png)
![\dfrac{dV}{dt}=\dfrac{22}{21}\times \left[-30240+58800\right]](/tpl/images/0917/1626/75d36.png)
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