5) If the radius of a right circular cylinder is increasing at a rate of 1 inch per minute, and the height is decreasing at a rate of 4 inches per minute, how fast is the volume changing at the instant of time when the radius is 40 inches and height is 60 inches?

Q: Suppose the radius of a sphere are expanding at a rate of 6 inches per minute. How fast is the…

A: Let us suppose the radius of sphere be R. Given that :   dRdt=6 incheminute.  Radius=Diameter2=122=6…

Q: A right triangle has legs of 3 inches and 4 inches whose sides are changing. The short leg is…

A: dhdt=7 in/sec , dbdt = -10 in/sec

Q: The length of a rectangular box is increasing at 3 in/sec, while its width is decreasing at 4…

A: Differentiate volume of rectangular box wrt t

Q: A spherical snowball is melting so that its diameter is decreasing at rate of 0.1 cm/min. At what is…

A: The diameter of the snowball is decreasing at a rate of 0.1 cm/min. So, the decreasing rate of…

Q: If the radius of a cone increases at a rate of 36 inches per second and the height decreases 2 feet…

A: Given