b. The radius of the balloon is increasing at 3 cm/min, find the rate of change...
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 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 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
The height of a triangle is increasing at a rate of 2 cm/min while the area of the triangle is increasing at a rate of 5 square cm/min. At what rate is the base of the triangle changing when the height is 4 centimeters and the area is 6 square centimeters? Answer: 3 cm/min.
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 =
(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
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.
1. Given y se (a) find y' (b) slope of tangent at x=4wb.-) (c) equation of the tangent at x=4. 2. (a) Using differential find approximate value of 184. (b) If the possible error in the measurement of the radius of a sphere is 0.5cm when the radius is 50cm, find approximate error in the measurement of the volume. 3. (a) A spherical balloon is inflated so that its volume is increasing at the rate of 2 ft/min. How fast...
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...