Question: Sand is pouring out of a tube at the rate of 1 cubic metre per second. It forms a pile which has the shape

Sand is pouring out of a tube at the rate of 1

Sand is pouring out of a tube at the rate of 1 cubic metre per second. It forms a pile which has the shape of a cone, where the height of the cone is equal to the radius of its circular base. How fast is the sand pile rising when it is 2 metres high?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Let AH} he the area of a circle 1with radius t], at time t in min. Suppose the radius is changing Jr at the rate of E = 3 tttrhin. Find the rate of change at the area at the moment in time when r =...

Let AH} he the area of a circle 1with radius t], at time t in min. Suppose the radius is changing d1" at the rate of E = i3 tttmin. Find the rate of change at the area at the moment in time when r =...

Alter lled with liquid is in the shape of a 1trertex-down cone with a height of 12 inches and a diameter of 8 inches at its open (upper) end. If the liquid drips out the bottom of the filter at the...

You are blowing air into a spherical balloon at a rate of 11 cubic inches per second. Given that the radius of the balloon is 3 inches when t = 3 seconds answer the following questions: (a) How fast...

#detailed explanations plz. 8. A kite is rising vertically at a constant speed of 2 m/s from a location at ground level which is 8 m away from the person handling the string of the kite. kite V 8m...

$$explain clearly... 2.4 Tangent Lines and Implicit Differentiation 1. At what point on the curve y = sinh r does the tangent line have a slope of 1? 2. Find the point(s) on the graph y = a where the...

only the illustration to solve the problem ty 13. The height of a rectangular box is increasing at a rate of 2 meters per second while the volume is decreasing at a rate of 5 cubic meters per second....

Please help! 1. A red and a blue car leave Bellevue at the same time. The red car drives north and the blue car drives west. The red car is going 65 kilometers per hour and the blue car is going 55...

1)A small balloon is released at a point 150 feet away from an observer, who is on level ground. If the balloon goes straight up at a rate of 4 feet per second, how fast is the distance from the...

Assume that you wish to trade in your old car and buy a new car. The new car has a list price of $26.983.54 and you have been offered a 6-year (72-month) car loan at a nominal annual interest rate of...

Request: Write a program that computes an investment report. Analysis: The inputs to this program are the following: 2 The program uses a simplified form of compound interest, in which the...

( c ) Use Laplace transform methods to find the solution to the 2 ^ ( nd ) order ordinary differential equation given below 9 ( d ^ ( 2 ) y ) / ( dt ^ ( 2 ) ) + 1 2 ( dy ) / ( dt ) - 5 y = 1 when the...

The ages (in years) of a random sample of shoppers at a gaming store are shown. Determine the range, mean, variance, and standard deviation of the sample data set. 12, 15, 23, 13, 21, 16, 22, 17, 15,...

Use the standard normal distribution or the t-distribution to construct a 90% confidence interval for the population mean. Justify your decision. If neither distribution can be used, explain why....

Linda is starting a new cosmetic and clothing business and would like to make a net profit of approximately 10% after paying all the expenses, which include merchandise cost, store rent, employees'...

A youth group made up of 10 people whose ages are 13, 15, 18, 17, 19, 12, 14 15, 12,15. Find the mean age of the group, the median, and the mode.

You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare...

Create a 200 word summary on the Juvenile Justice System than and today. Describe The Juvenile system and provide a generalizable definition. Highlight the issues in the Juvenile system and why this...

(Two Differences, One Rate, Beginning Deferred Balance, Compute Pretax Financial Income) Andy McDowell Co. establishes a $100 million liability at the end of 2007 for the estimated site-cleanup costs...

(Two Temporary Differences, Tracked through 3 Years, Multiple Rates) Taxable income and pretax financial income would be identical for Huber Co. except for its treatments of gross profit on...

(Two Differences, No Beginning Deferred Taxes, Multiple Rates) Teri Hatcher Inc., in its first year of operations, has the following differences between the book basis and tax basis of its assets and...