The radius r of a sphere is increasing at a rate of 3 inches per minute.
(a) Find the rate of change of the volume when r = 9 inches.
(b) Find the rate of change of the volume when r = 36 inches.
The radius r of a sphere is increasing at a rate of 3 inches per minute.
The radius r of a circle is increasing at a rate of 7 centimeters per minute. Find the rate of change of the area when r = 30 centimeters.The radius r of a sphere is increasing at a rate of 4 inches per minute. (a) Find the rate of change of the volume when r = 12 inches.(b) Find the rate of change of the volume when r = 30 inches.
The radius r of a sphere is increasing at the uniform rate of 0.3 inches per second. At the instant when the surface area S becomes 100pi square inches, what is the rate of increase, in cubic inches per second, in the volume V?
The radius r of a circle is increasing at a rate of 3 centimeters per minute. Find the rate of change of the area when r = 39 centimeters.
The radius of a sphere is increasing at a rate of 7.5 meters per minute. What is the rate of change of the surface area of the sphere when the radius is 5 m (in square meters per minute)? Note that the surface area, S, of a sphere of radius ris S = 4xr? 330x m/min 100x mº/min 225x m/min 300x m/min 75x m/min
The radius of a right circular cone is increasing at a rate of 10 inches per minute, and the height is decreasing at a rate of 4 inches per minute. What are the rates of change of the volume and the radius is 15 inches and the height is 45 inches? rate of change of the volume 13194.69 in3/min rate of change of the surface area 2402.85| in2/min
(1 point) If the radius of a sphere is increasing at a constant rate of 3 cm/sec, then the volume is increasing at a rate of cm3 /sec when the radius is 1 cm dᏙ dr dᏙ Hint: dt and the volume of a sphere is V = dr dt
(1) A box has a height of 6 inches, a width of 4 inches, and a length of 10 inches (and therefore a volume of 240 cubic inches). The height is decreasing at a rate of 0.5 inches per minute, the width is increasing at a rate of 2 inches per minute, and the length is increasing at a rate of 1 inch per minute. At what rate is the volume changing? Car A travels East towards the intersection of...
6. (6 pts) An expandable sphere is being filled with liquid at a constant rate from a tap (imagine a water balloon connected to a faucet). When the radius of the sphere is 3 inches, the radius is increasing at 2 inches per minute. How fast is the liquid coming out of the tap? (Volume of a sphere = ar") Use appropriate units in your answer.
A spherical balloon is inflated with gas at a rate of 900 cubic centimeters per minute. (a) Find the rates of change of the radius when r = 40 centimeters and r = 75 centimeters. r = 40 cm/min r = 75 cm/min (b) Explain why the rate of change of the radius of the sphere is not constant even though dV/dt is constant. The rate of change of the radius is a linear relationship whose slope is dV dt...
Sketch this rate of change graph. I have the answer, I just need the graph. Thanks! Show all work to receive full credit. Simplify answers when possible. (5 points) 1. A spherical balloon is inflated at the rate of 20 inches cubed per minute. What is the rate of change of the radius at the moment when the sphere has volume 36 cubic inches? (5 points) 2. Sketch. Label any asymptote(s) within the graph. 3 ven spnare : 36 in...