4. A spherical balloon is inflated at a rate of 10 cubic feet per minute. How...
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...
A spherical balloon is inflated with gas at a rate of 6 (???) 3 per minute. How fast does the radius of the balloon grow the instant the radius reaches 5 cm? Step1 Identify known and unknown data Step 2 Write an equation that relates the known and unknown variables Step 3 Implicitly derive Step 4 Substitute and interpret the answer 10) Un balón esférico es inflado con gas a razón de 6 (cms) por minuto Cuan rápido el radio...
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?
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
A pool shaped like the bottom half of a sphere is being filled at a rate of 28 cubic feet per minute. The radius of the pool is 15 feet. Find the rate at which the depth of water is changing when the water has a depth of 2 feet. (Hint: The volume for the cap of a sphere is V =,haR_h) where R is the radius of the sphere and h is the depth of the cap.) ft/min help...
Please show each step! alloon takes off 400 feet from a parking lot. The balloon rises at a rate of 10 feet per minute. A dog standing at the edge of the parking lot watches the balloon take off a. Draw a picture. Label any parts of the picture that do not change as the b. How fast is the distance between the dog and the balloon changing 30 minutes after the balloon took off? Add any variables that you...
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...
A spherical balloon is being inflated. Find the rate of increase of the surface areas with respect to the radius r when r = 3 ft. S = 42 S'(3) =
travelling south at a rate of 20 miles/hr while B is travelling east at 30 mi/hr. How fast is the distance between them changing 1 hour later a. 2 miles /hour b. 4 miles/hour c. 5 miles/hour d. 6 miles/hour 16. The depth of the water in a cylind rical tank 4 m in diameter is increasing at the rate of 0.7 m/min. Find the rate at which the water flowing into the tank a. 5.8 cubic meter per minute...
Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter is alwaysequal to its height. How fast is the height of the pile increasing when the pile is 18 feet high? Recall that the volume of a right circular cone with height h andradius of the base r is given by V=1/3*pi*r^2*hWhat isr requested rate of increase of...