Question

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

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

feel free to ask any doubt please. If you don't have any doubt please like.

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 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 height of a triangle is decreasing at a rate of 1 cm/min while its area...
The height of a triangle is decreasing at a rate of 1 cm/min while its area is increasing at a rate of 2 cm^2/min. (a) What is the base of the triangle when its height is 10 cm and its area is 100 cm^2? (b) At what rate is the base of the triangle changing when its height is 10 cm and its area is 100cm^2?
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?
The altitude (height) of a triangle is increasing at a rate of 1 cm/min while the...
The altitude (height) of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 square cm per min. At what rate is the base of the triangle changing when the altitude is 10 cm and the area is 100 square cm?
the height of a triangle increases at a rate of 3 cm / min while the...
the height of a triangle increases at a rate of 3 cm / min while the area increases at a rate of 4 cm ^ 2 / min. At what rate does its base change when the height is 10 cm and the area is 90 cm ^ 2
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?
The altitude of a triangle is increasing at a rate of 1 cm/min while the area...
The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm2/min. At what rate is the base of the triangle changing when the altitude is 20 cm and the area is 160 cm2?
The altitude of a triangle is increasing at a rate of 1 cm/min while the area...
The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm2/min. At what rate is the base of the triangle changing when the altitude is 20 cm and the area is 100 cm2?
The altitude of a triangle is increasing at a rate of 2.5 cm/min ‏‏ while the...
The altitude of a triangle is increasing at a rate of 2.5 cm/min ‏‏ while the area the triangle is increasing at a rate of 2.5 cm² per minute. At what rate is the base of the triangle changing when the altitude is 8.5 cm and the area is 94 cm² ?
A cylinder is inscribed in a right circular cone of height 2.5 and radius (at the...
A cylinder is inscribed in a right circular cone of height 2.5 and radius (at the base) equal to 6.5. What are the dimensions of such a cylinder which has maximum volume? Asking for both radius and height.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT