Question

The volume of a cylinder of height 9 inches and radius rr inches is given by...

The volume of a cylinder of height 9 inches and radius rr inches is given by the formula V=9πr2V=9πr2.

Suppose that the radius is expanding at a rate of 0.4 inches per second. How fast is the volume changing when the radius is 2.9 inches? Use at least 5 decimal places in your answer.

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The volume of a right circular cylinder is given by V= πr2h, where r is the...
The volume of a right circular cylinder is given by V= πr2h, where r is the radius of its circular base and h is its height. Differentiate the volume formula with respect to t to determine an equation relating the rates of change dV/dt , dr/dt , dh/dt.   At a certain instant, the height is 6 inches and increasing at 1 in/sec and the radius is 10 inches and decreasing at 1 in/sec. How fast is the volume changing at...
Assume that the radius rr of a sphere is expanding at a rate of 14 in/...
Assume that the radius rr of a sphere is expanding at a rate of 14 in/ min14 in/ min The volume of a sphere is V=43πr3V=43πr3. Determine the rate at which the volume is changing with respect to time when r=11 in. Assume that the volume VV of a sphere is expanding at a rate of 460 in3/ min460 in3/ min The volume of a sphere is V=43πr3V=43πr3. Determine the rate at which the radius is changing with respect to...
Let V be the volume of a cylinder having height h and radius r, and assume...
Let V be the volume of a cylinder having height h and radius r, and assume that h and r vary with time. (a) How are dV /dt, dh/dt, and dr/dt related? (b) At a certain instant, the height is 18 cm and increasing at 3 cm/s, while the radius is 30 cm and decreasing at 3 cm/s. How fast is the volume changing at that instant? Is the volume increasing or decreasing at that instant?
Suppose the radius, height and volume of a right circular cylinder are denoted as r, h,...
Suppose the radius, height and volume of a right circular cylinder are denoted as r, h, and V . The radius and height of this cylinder are increasing as a function of time. If dr/dt = 2 and dV/dt = 10π when r = 1, h = 2, what is the value of dh/dt at this time?
A potter forms a piece of clay into a right circular cylinder. As she rolls it,...
A potter forms a piece of clay into a right circular cylinder. As she rolls it, the height hh of the cylinder increases and the radius r decreases. Assume that no clay is lost in the process. Suppose the height of the cylinder is increasing by 0.4 centimeters per second. What is the rate at which the radius is changing when the radius is 4 centimeters and the height is 11 centimeters?
The radius of a circular cylinder is increasing at rate of 3 cm/s while the height...
The radius of a circular cylinder is increasing at rate of 3 cm/s while the height is decreasing at a rate of 4 cm/s. a.) How fast is the surface area of the cylinder changing when the radius is 11 cm and the height is 7 cm? (use A =2 pi r2 +2 pi rh ) b.) Based on your work and answer from part (a),is the surface area increasing or decreasing at the same moment in time? How do...
The radius of a cylinder is increasing at a rate of 3cm/min while the height is...
The radius of a cylinder is increasing at a rate of 3cm/min while the height is decreasing at a rate of 10cm/min. What is the rate of change of the volume of the cylinder when the height is 100cm and the radius is 20cm? Please solve the question step by step
1) A cylindrical tank with a radius of 10 feet and a height of 20 feet...
1) A cylindrical tank with a radius of 10 feet and a height of 20 feet is leaking. An observer notices that the height of the tank is goinf down at a constant rate of 1 foot per second. At what rate is the water leaking our of the rank (measured in volume) when the height of the water is 5 feet? The colume of a cylinder of height h and radius is V=pi*r2*h. a. -314 b. - 1,245 c....
Water is poured into a conical container with height 4 in. and base radius 4 in....
Water is poured into a conical container with height 4 in. and base radius 4 in. When the height of the water in the container is 2.5 inches it is increasing at 3 in/min. At what rate is the lateral surface area of the water changing when the height is 2.5 inches? The formula for the lateral surface area of the cone is Slateral = πrs where s is the slant or lateral length.
When gas expands in a cylinder with radius r, the pressure P at any given time...
When gas expands in a cylinder with radius r, the pressure P at any given time is a function of the volume V: P = P(V). The force exerted by the gas on the piston (see the figure) is the product of the pressure and the area: F = πr2P. The work done by the gas when the volume expands from volume V1 to volume V2 is W = V2 P dV V1 . In a steam engine the pressure...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT