Related Rates + HOw to find a variable

[madeeeeee]

Gravel is being dumped from a conveyor belt at a rate of 30 ft3/min and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 10 ft high?

Known:
dV/dt=30 ft^3/min
Cone Volume= 1/3(pi)(r^2)(h)

Unkown:
dh/dt= ? when h= 10ft

I am confused about how to find the height and radius of the pile if they are equal.
height=radius

Please help me with this thank you and i am sure that i will be able to solve this problem.
Thank you

 

[Integral]

Use the relationship between height and radius to eliminate the radius from the volume relationship. Now you can find dV/dt and the required answer.

 

[madeeeeee]

ok thank you

Also, if i have the function y=x^3-3x^2
is my horizontal asymptote 1?

 

[Mark44]

ok thank you

Also, if i have the function y=x^3-3x^2
is my horizontal asymptote 1?

?
This function does not have a horizontal asymptote. Did you mean x-intercepts? If so, there are two: x = 0 and x = 3.

 

[madeeeeee]

ok, so does that mean that there is also no, vertical or slant asymptote?

 

[Mark44]

y = x^3 - 3x^2 doesn't have any asymptotes at all.

 

[madeeeeee]

ok thank you