The height of a cylinder with a fixed radius of 6 cm is increasing at the rate of 3 cm/min. Find the rate of change of the volume of the cylinder (with respect to time) when the height is 20cm.

36π
108π
360π
None of these

Question

The height of a cylinder with a fixed radius of 6 cm is increasing at the rate of 3 cm/min. Find the rate of change of the volume of the cylinder (with respect to time) when the height is 20cm.

 36π
 108π
 360π
 None of these

anonymous · Answer

@ganeshie8

matlee · Answer

C

matlee · Answer

https://answers.yahoo.com/question/index?qid=20140731092257AAd4aJi

xapproachesinfinity · Answer

First right down your cylinder volume formula
$\huge \rm \color{blue}{v=\pi r^2h}$
the radius here is fixed so when diffrentiating we get
$\huge \rm d/dx(v)=d/dx(\pi r^2h)=\pi r^2d/dx(h)$

xapproachesinfinity · Answer

we are looking for d/dx(V) or otherwise written as V'
it should d/dt not d/dx my bad

xapproachesinfinity · Answer

just plug in all the numbers you have and you are done