6. (4 pts) Air is being pumped into a spherical balloon so that its volume increases...
A balloon is being inflated so that its volume is increasing at a constant rate of 200 c.c. per second. How fast is the radius increasing when the radius is 15 cm? Note that the volume is given by v=(4/3)π r^3.
Air is blown into a spherical balloon so that, when its radius is 6.60 cm, its radius is increasing at the rate 0.900 cm/s. (a) Find the rate at which the volume of the balloon is increasing. 164 Your response differs from the correct answer by more than 10%. Double check your calculations. cm/s (b) If this volume flow rate of air entering the balloon is constant, at what rate will the radius be increasing when the radius is 12.50...
A spherical balloon is inflated so that its volume is increasing at the rate of 3 ft 3/min. How fast is the radius of the balloon increasing when the radius is 1 ft?
show work 4. The spherical balloon is being filled with water at a rate of 25 cm/min. At what rate if the radius 4 changing when the radius is 4 cm? (Volume of a sphere: V =
A spherical balloon is inflated so that its volume is increasing at the rate of 2 ft3/min How rapidly is the diameter of the balloon increasing when the diameter is 1.3 feet? The diameter is increasing at _______ ft/min
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 inflating with helium at a rate of 641 it? min How fast is the balloon's radius increasing at the instant the radius is 2 ft? Write an equation relating the volume of a sphere, V, and the radius of the sphere, r. (Type an exact answer, using a as needed.) Differentiate both sides of the equation with respect to t. dv dr dt (Type an exact answer, using a as needed. Type an expression using r...
question 2 in two parts Incorrect Question 2 0/1 pts The first question in this problem is "How fast is the radius of the balloon changing at the instant the balloon's diameter (dis 12 inches?" Which of these sketches best records the known and unknown quantities that are relevant to this question? dr/dt? d=12 dv/dt=20 r=6 d=12 dv/dt=20 =6 dr/dt=20 d=12 r=6 dr/dt=20 dv/dt = ? d=12 Incorrect Question 3 0/1 pts Part b of Preview Activity 3.5.1 reads: "Recall...
6) 7 marks A spherical balloon is being inflated. Using limit theory only: a) Find the instantaneous rate of change of its surface area (SA = 4nr2) with respect to its radius r when r = 10cm b) At another time, the instantaneous rate of change is 481 cm2/cm. What is the Surface Area of the balloon at this time?
3.9 1. Balloons A spherical balloon is inflated and its volume increases at a rate of 15 in/min. What is the rate of change of its radius when the radius is 10 in? 2. Ladder against the wall A 13-foot ladder is leaning against a vertical wall (see figure) when Jack begins pulling the foot of the ladder away from the wall at a rate of 0.5 ft/s. How fast is the top of the ladder sliding down the wall...