Question

Liquid is flowing into a tank consist of vertical circular cylinder and vertical circular cone at the rate of 1m³/4min.The height of the cylinder is 3m while the height of cone is 2m.If the radius of the tank is 1m,
a)how fast is the surface rising at h=1/2m
b)how fast is the surface rising at 2.5m

Answer 1

I do not see your geometry arrangement.
However in general
change in volume = surface area of liquid * change in surface height

dV = Area * dh
dV = pi r^2 dh
so
dV/dt = pi r^2 dh/dt
(1/4) = pi r^2 dh/dt
so
dh/dt= 1/( 4 pi r^2)

You will have to find r from your geometry at those two values of h

Answer 2

Liquid is flowing into a tank consist of vertical circular cylinder and vertical circular cone at the rate of 1m³/4min.The height of the cylinder is 3m while the height of cone is 2m.If the radius of the tank is 1m,
a)how fast is the surface rising at h=1/2m
b)how fast is the surface rising at 2.5m
Math - Damon, Friday, September 2, 2016 at 10:01am
I do not see your geometry arrangement.
However in general
change in volume = surface area of liquid * change in surface height

dV = Area * dh
dV = pi r^2 dh
so
dV/dt = pi r^2 dh/dt
(1/4) = pi r^2 dh/dt
so
dh/dt= 1/( 4 pi r^2)

You will have to find r from your geometry at those two values of h
-Mr Damon you said that to find r from my geometry at those two values-means that i have to substitute the value of h in 1/(4 pi r^2)..is it to be like that.Sorry.I'm a little bit not understand about that.Please answer my question

Answer 3

Sketch the graph of a continuous function f that satisfies all the stated conditions.
f(0)=0; f(2)=-2 ; f(4)=f(10)=-1;f(6)=0 f’(2)=f'(6)=0

f'(x)<0 throughout (-infinity,2) and (6,+infinity)

f'(x)>0 throughout 2<x<6

f''(x)<0 throughout (4,+infinity)

f''(x)>0 throughout (-infinity,4)

Hence,state the maximum,minimum and inflection point(s),if any.

Answer 4

Jawab arr sendiri

Answer 5

Payah aa nak jawab soalan ni

Answer 6

Kelakar lah korang ni..