How fast is the height of the pile increasing

Assignment Help Mathematics
Reference no: EM13197215

Gravel is being dumped from a conveyor belt at a rate of 50 {rm ft}^3{rm /min}. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast is the height of the pile increasing when the pile is 18 ft high?

Reference no: EM13197215

Questions Cloud

Find the polynomial that will represent the length : Pick any one method that can be used here, just name the method you used and explain how you will find the polynomial that will represent the length of the deck? Hint: Area of deck = length * width.
Find the dimensions of the aquarium that minimize the cost : The base of an aquarium with volume V = 360 is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.
Find the work done pulling the bucket to the top : The bucket is filled with 40 pounds of water and is pulled up at a rate of 2.7 feet per second, but water leaks out of a hole in the bucket at a rate of 0.1 pounds per second. Find the work done pulling the bucket to the top of the well.
Find the volume of the water in the bowl : A bowl is shaped like a hemisphere with a diameter of 60 cm. Water is poured into the bowl to depth of 12 cm. Find the volume of the water in the bowl.
How fast is the height of the pile increasing : Gravel is being dumped from a conveyor belt at a rate of 50 {rm ft}^3{rm /min}. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast is the height of the pile increasing when the pile i..
Determine the objectivity of a web site before relying : Adrian used primarily Web sources for his informative speech about gun control. However, his over-reliance on the Web site sponsored by the National Rifle Association caused his speech to be slanted in one direction, rather than presenting multipl..
What are the dimensions of the block : a new fence is constructed on three sides of a housing block with area 240m^2 the fourth side facing the road is left open. if 52 of fencing is used, what are the dimensions of the block?
How long will it take the ball to hit the ground : How long will the ball take to reach its maximum height? How long will it take the ball to hit the ground?
State the domain of this function : The perimeter of a rectangle is 170 meters. Express the area A as a function of the length L, and state the domain of this function.

Reviews

Write a Review

Mathematics Questions & Answers

  At which the surface area s is changing at that instant

At that instant L and W are increasing at a rate of 10 m/s while H is decreasing at a rate of 1 m/s. Find the rate at which the surface area S is changing at that instant.

  Find the variance of the lifetime of an individual

A certain scientific theory supposes that mistakes in cell division occur according to a Poisson process with rate 2.5 per year, and that an individual dies when 196 such mistakes have occured. Assuming this theory, find the variance of the lifeti..

  Determine the probability distribution

Determine the probability distribution, and the cumulative probability distribution of car arrivals. Simulate 20 hours of car arrivals at Joe Kelly's oil change and tune-up place.

  Estimate the regression equation

Estimate the regression equation. Interpret the equation. Do more bidders tend to increase or decrease the amount of the winning bid?

  What is the total vertical distance the ball

A ball re-bounds one-half the height from which it is dropped. The ball is dropped from a height of 160 feet and keeps bouncing. What is the total vertical distance the ball will travel from the moment it is dropped until it hits the floor for the..

  What is the probability that in given year erroneous returns

If the annual proportion of erroneous income tax returns filed with the IRS can be looked upon as a random variable having a beta distribution with α= 2 and β = 9,

  What is the minimum score that such a student can obtain

The combined math and verbal scores for students taking a national standardized examination for college admission, is normally distributed with a mean of 880 and a standard deviation of 180. If a college requires a student to be in the top 40 % of..

  Determining partial ordering relation

Let A = {1, 2, 3, 4, 5, 6,12} and define the relation R on A by m R n iff m|n. Show that this relation is a partial ordering relation. Draw its Hasse diagram.

  Limits and implicit differentiation

Use implicit differentiation to find an equation of the line tangent to the curve x^2 + y^2 at the point (3,-1). Use implicit differentiation to find an equation of the line tangent to xy=12 at the point (4,3)

  Question regarding system of inequalities

Give a real-life example of a situation in which you would use a system of inequalities, and for which the solution must be in the first quadrant.

  Calculate the volume of the region bounded

Use a triple integral and an appropriate change of coordinates to calculate the volume of the region bounded by the xy -plane, the surface z = x^2 + y^2 and the cylinder over x^2/9 + y^2/4 = 1 .

  Which produces a counter example to her statement

What is the answer to the range of f(x) = ax + b is the set of all real numbers given that a and b are real numbers and which produces a counter example to her statement

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd