I only have one chance left to get this answer right and came up with the soluti
ID: 2887751 • Letter: I
Question
I only have one chance left to get this answer right and came up with the solution 35/9pi but Im not sure if it's correct or not
eSecurehtwww.webasign t-Responseuibmit?dep 18396773 9. 03 points Previous Answers SCalcETa 3.9 029 My N Gravel is being clumped rom d unveyu bel dl d 'ale u 35 3 rrir' and ils coar seness 1s such hd il forms of the pile increasing when the pile is 6 ft high? (Round your answer to two decimal places.) pile in he shape u d Lone whose base ? arrie er and hergh dre d ways equal. How asl is he heigh X ft/min Enhanced Feedback h and dV dt 1 plcase try dydin. Keep m rn?nd thot the volume of the tone is given by V ??h Yu are told thal 2, (aie gravet i pumped 'n write the volume n terms o t' only and differentiate the ula on hoth sides with respect to r using the Chain Rule. Now, using the given values, yau can solve for the value of h Need Help? Suhmit Answer Siave ProgrssPrchce Another Version ot Talk to a Tutor 10. 3V3 points Premous Ansxwere SCalcET3 3.8.003. My Fach side of a square is increasing at a rate of 8 cm/s. At what rate is the area of the square increasing when the area of the square is 1h cm2 cm2s O lype hene to searchExplanation / Answer
A cone has volume 1/3 * pi * r^2 * h
diameter = h
So, 2r = h
r = h/2
So, V = 1/3*pi*r^2*h becomes :
V = 1/3 * pi * h^2/4 * h
V = pi*h^3 / 12
Now, derive with time :
dV/dt = pi/12 * 3h^2 * dh/dt
dV/dt = pi/4 * h^2 * dh/dt
Now, plug in h = 6 and dV/dt = 35 :
35 = pi/4 * 36 * dh/dt
35 = 9pi * dh/dt
dh/dt = 35/(9pi)
You must enter in 2 decimal places....
So, we get :
1.237
1.24 ft/min ----> ANS
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