anonymous
  • anonymous
Gravel is being dumped from a conveyor belt at a rate of 10 m^3/min The coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are in the ratio of 3 to 2 . How fast is the height of the pile increasing when the pile is 7 metres high?
Mathematics
schrodinger
  • schrodinger
See more answers at brainly.com
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

anonymous
  • anonymous
The volume of the pile is given by V = (1/3)[(1/4)pi D^2 h], where D is the diameter of the cone and h is the height. It is given that dV/dt = 10, D:h = 3:2 (that is 2D = 3h)) and we are asked to find dh/dt when h =7. By substituting D = (3/2)h, we have V = (3/16)pi h^3] Differentiate the equation with respect to t: dV/dt = (9/16)pi h^2 (dh/dt) By substituting the values for dV/dt and h, you can get the dh/dt

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

Looking for something else?

Not the answer you are looking for? Search for more explanations.