Question

The radius of a cone is decreasing at a constant rate of 5 centimeters per minute,...

The radius of a cone is decreasing at a constant rate of 5 centimeters per minute, and the volume is decreasing at a rate of 148 cubic centimeters per minute. At the instant when the radius of the cone is 22 centimeters and the volume is 21 cubic centimeters, what is the rate of change of the height? The volume of a cone can be found with the equation V=1/3 pi r^2h. Round your answer to three decimal places.

Homework Answers

Answer #1

if satisfied with the explanation, please rate it up..

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The radius of a melting snowball is decreasing at a rate of 10 centimeters per minute....
The radius of a melting snowball is decreasing at a rate of 10 centimeters per minute. How fast is the volume changing when the radius is 1 /2 centimeters? (Feel free to leave your answer in terms of π, you don’t need to use the approximation π ≈ 3.14).
The diagram shows a toy. The shape of the toy is a cone, with radius 4...
The diagram shows a toy. The shape of the toy is a cone, with radius 4 cm and height 9 cm, on top of a hemisphere with radius 4 cm. Calculate the volume of the toy. Give your answer correct to the nearest cubic centimetre. [The volume, V, of a cone with radius r and height h is V = 3 1 πr 2h.] [The volume, V, of a sphere with radius r is V = 3 4 πr 3.]
The radius of a right circular cone is decreasing at a rate of 1.5cm/sec and the...
The radius of a right circular cone is decreasing at a rate of 1.5cm/sec and the height is increasing at a rate of 5cm/sec. At what rate is the volume changing when the height is 12cm and the radius 2cm? Leave your answer in terms of pi.
Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per...
Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 22 feet high? Recall that the volume of a right circular cone with height h and radius of the base r is given by V = 1/3πr^2h
Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per...
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 equal. How fast is the height of the pile increasing when the pile is 13 feet high. Recall that the volume of a right circular cone with the height h and radius of the base r is given by V=1/3pi r*2h Answer in ft/min
When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are...
When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PV^1.4=C where C is a constant. Suppose that at a certain instant the volume is 440 cubic centimeters and the pressure is 93 kPa and is decreasing at a rate of 7 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant?
When air expands adiabatically (without gaining or losing heat), its pressure PP and volume VV are...
When air expands adiabatically (without gaining or losing heat), its pressure PP and volume VV are related by the equation PV1.4=CPV1.4=C where CC is a constant. Suppose that at a certain instant the volume is 680680 cubic centimeters and the pressure is 8787 kPa and is decreasing at a rate of 1515 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant?
A paper cup in the shape of a cone with height 5 cm and radius 3...
A paper cup in the shape of a cone with height 5 cm and radius 3 cm with the point of the cone at the bottom. A small leak develops in the cup causing water to leak out at a rate of 0.1 cm3/s. Find the rate at which the height of the water in the cup changes when the depth of the water is 2 cm. Recall that the volume of a cone is v=1/3(pi)(r2)h
Water is leaking out of an inverted conical tank at a rate of 10200 cubic centimeters...
Water is leaking out of an inverted conical tank at a rate of 10200 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 8 meters and the diameter at the top is 5.5 meters. If the water level is rising at a rate of 22 centimeters per minute when the height of the water is 2 meters, find the rate at which water is being...
a recreational lake created by an artificial damn has the shape of a truncated cone. if...
a recreational lake created by an artificial damn has the shape of a truncated cone. if the depth of water in the lake (h) is 0 the radius of the lake would be r_1= 300meters. the radius of the lake at it's surface is given in terms of the lake's depth via the following relation r_2 = 300 + h. a) given that the volume of a truncated cone is given by the formula pi/3 × h(r(2/1)+ r(2/2) + r...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT