Purchase Solution

Differentiation: Increase in height of sand pile with volume

Not what you're looking for?

Ask Custom Question

At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10 cubic feet per minute. The diameter of the base of the cone is approximately 3x the altitude. At what rate is the height of the pile changing when the pile is 15 feet high?

Purchase this Solution
Solution Summary

Sand is poured through a conveyor belt on a conical pile at a constant rate. The rate of increase in height is calculated.

Solution Preview

Please see the attached file.

Differentiation
________________________________________
Please explain how to solve the following and please show solution to specified answer.

At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10 cubic feet per ...

Purchase this Solution
Free BrainMass Quizzes
Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Probability Quiz

Some questions on probability

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

View More Free Quizzes
Related BrainMass Solutions

  • Maximum and minimum values

    Then use Newton's method to approximate each of the 3 roots to four-place accuracy. Problem 4- Fig 4.1 Sand falling from a hopper at (Figure 4.1) forms a conical sand pile whose radius is always equal to its height.

  • Volume of a fish tank

    Volume of the sand in the fish tank (V) = Length x Width x Height = 71 x 18 x 3 = 3834 cubic inches Case 2: 4 inch base of sand Height of base (H) = 4 inches Volume of the sand in the fish tank (V) = Length x Width x Height

  • Calculus topics

    Then use Newton's method to approximate each of the three roots to four-place accuracy. 11. Sand falling from a hopper at 10 pi ft^3/s forms a conical sand pile whose radius is always equal to its height.

  • Rate of change of volume of a cone

    50742 Sand falls from an overhead hopper to form a right circular cone. If the cone formed has an angle theta find the rate of change of volume with respect to height?

  • Roots, change, maximum and minimum

    Then use Newton's method to approximate each of the three roots to four-place accuracy f(x)= x^3- 3x+ 1 Sand falling from a hopper at forms a conical sand pile whose radius is always equal to its height.

  • definition of derivative

    Sand is being poured on a conical pile at the rate of 12 cubic feet per minute, the height of the pile being three times its diameter throughout. At what rate is the height increasing when the pile is 8 feet high? 8.

  • Rate of Change of Height of Cone

    How fast is the height of the pile increasing when the pile is 10 feet high? include the correct units in your answer. Let h=the height of the pile. The volume, V, of a cone of radius r and height h is given by V=(1/3) pi r^2 h.

  • Related Rates : Find the rate of increase in the height of a cone.

    43649 Related Rates : Find the rate of increase in the height of a cone.

  • Geometry has many practical applications in everyday life

    Volume of 3 tennis balls: Because the can is just enough to hold 3 balls, its diameter is equal to the diameter of the ball and its height is three times the height of 1 ball.

View More Related Solutions