Question

In: Math

Gravel is being dumped from a conveyor belt at a rate of 40 cubic feet per...

Gravel is being dumped from a conveyor belt at a rate of 40 cubic feet per minute. 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 21 feet high? Recall that the volume of a right circular cone with height h and radius of the base r is given by

V=(1/3)πr2h

Solutions

Expert Solution


Related Solutions

QUESTION 1 A. Gravel is being dumped from a conveyor belt at a rate of 10...
QUESTION 1 A. Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. 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 11 feet high? Recall that the volume of a right circular cone with height h and radius of the base r is given by V= 1/3...
Gravel is being dumped from a conveyor belt at a rate of 40 ft3/min. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same.
  part 1) Gravel is being dumped from a conveyor belt at a rate of 40 ft3/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 16 ft high? The height is increasing at ft/min. part 2) A conical water tank with vertex down has a radius of 8 feet at the top and is...
Given that the typical belt conveyor speed can be up to 65 feet per minute and...
Given that the typical belt conveyor speed can be up to 65 feet per minute and the cost of this type of conveyor has been estimated to be $5000/m with a service life of 10 years (ignore the possible salvage at the end of the service life as it is considered to be compensated by the requirement of the demolition charge!) and the internal rate of return is 0.5% per month. The products which are going to be transferred will...
Sand from a stationary hopper falls on a moving conveyor belt at the rate of 4.60...
Sand from a stationary hopper falls on a moving conveyor belt at the rate of 4.60 kg/s as in fig. P9.72. The conveyor belt is supported be frictionless rollers and moves at a constant speed of v = 0.820 m/s under the action of a consant horizontal external force Fext supplied by the motor that drives the belt. (a) Find the sand's rate of change of momentum in the hortizontal direction. N (B) Find the force of friction exerted by...
A conveyor belt is driven by a 15" diameter pulley. The conveyor starts from rest and...
A conveyor belt is driven by a 15" diameter pulley. The conveyor starts from rest and accelerates at a constant rate to 100 RPM in 4 seconds, stays at that speed for 3.2 seconds, and then slows to a stop at a constant rate in 3.9 seconds. a) How far will an object on the conveyor travel during this time? b) What is the maximum speed of the belt?
A. Calculate the price of pit-run gravel delivered to the site per cubic yard (bank measure)...
A. Calculate the price of pit-run gravel delivered to the site per cubic yard (bank measure) based on the following data: The pit is located 10 miles from the site. Trucks cost $43.75 per hour including fuel and maintenance; they have 12 cubic yards (loose material) capacity and travel at an average speed of 30 miles per hour. The swell factor for this material is 15%. Trucks take 5 minutes to unload at the site. The loader costs $82.50 per...
The mean consumption of water per household in a city was 1212 cubic feet per month....
The mean consumption of water per household in a city was 1212 cubic feet per month. Due to a water shortage because of a drought, the city council campaigned for water use conservation by households. A few months after the campaign was started, the mean consumption of water for a sample of 92 households was found to be 1167 cubic feet per month. The population standard deviation is given to be 220 cubic feet. a. Find the p-value for the...
A facility has a waste storage tank with a capacity of 40 cubic feet. Each week...
A facility has a waste storage tank with a capacity of 40 cubic feet. Each week the tank produces either 0, 10, 20, or 30 cubic feet of waste with respective probabilities of 0.1, 0.4, 0.3, and 0.2. If the amount of waste produced in a week creates a situation where the tank would overflow, the amount exceeding the tank’s capacity can be removed at a cost of $3 per cubic foot. At the end of each week, a contracted...
Eastern Utilities find that if they charge $0.7866 per CCF (cubic hundred feet), they will sell...
Eastern Utilities find that if they charge $0.7866 per CCF (cubic hundred feet), they will sell 1200 thousand CCF. If they charge $0.4601 per CCF, they will sell 1850 thousand CCF. Eastern Utilities also has data showing that their production costs are $675 thousand for 800 thousand CCF and $725 thousand for 925 thousand CCF. Show a profit/loss analysis including a graph for Eastern Utilities at these selling prices and production costs.
Look up today’s wholesale prices of natural gas in Texas (4.74 Dollars per thousand cubic feet)...
Look up today’s wholesale prices of natural gas in Texas (4.74 Dollars per thousand cubic feet) Calculate how much a kWh of electricity should cost, if it is being produced from (a) natural gas and (b) wind. You will need to worry about efficiency of combustion, energy content of natural gas, conversion of joules in kWh, etc. You will also need to figure out how to price wind, which of course blows for free.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT