Question

Sand is falling on a pile , having shape pf a cone, at the rate 1.5 m3/min. assime diameter of base is 3 times the altitiude, at what rate is the altitude increasing when the altitude is 2m?

Answer 1

@ganeshie8 @ParthKohli @Loser66

Answer 2

whats is "r" equal too ?

Answer 3

the question says 3d=h

Answer 4

radius is half so 2/3r=h?

Answer 5

other way around. d = 3h

Answer 6

so r = 3h/2

Answer 7

and V = πr²h/3, so make the substitution for r then take the derivative

Answer 8

okey i did eberyhing i am getting 1/9pi and u ?

Answer 9

i did somthing wrong

Answer 10

yeah I got something different? What was your derivative?

Answer 11

did u get 1/6pi?

Answer 12

yes

Answer 13

If you mean \[\Large \frac{1}{6\pi}\] then you are correct

Answer 14

how ?

Answer 15

oh, that's what I thought you meant

Answer 16

what did you get for dV/dt ?

Answer 17

my der was 9/12pih3 dh/dt?

Answer 18

after putiing in 3/2h

Answer 19

the h^3 part is incorrect

Answer 20

how

Answer 21

you will have h^3 in the V volume formula

but after you derive, it turns into 3h^2

Answer 22

the formula for cone is x=1/3r2h

Answer 23

when 3/2h goes in it become h2 then h3 by timising the outside h