show work 4. The spherical balloon is being filled with water at a rate of 25...
please show steps thank you 3. A manufacturer estimates that the profit in dollars from producing x yards of a certain fabric will be P(x)= 50x -0.03x’ – 600. How many yards should she produce to yield a maximum profit? 4. The spherical balloon is being filled with water at a rate of 25 cm/min. At what rate if the radius changing when the radius is 4 cm? (Volume of a sphere: V = r')
6. (4 pts) Air is being pumped into a spherical balloon so that its volume increases at a rate of 100 cm?/s. How fast is the radius of the balloon increasing when the diameter is 50 cm? The formula for the volume of a sphere is V = r.
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...
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...
4. A spherical balloon is inflated at a rate of 10 cubic feet per minute. How fast is the radius changing when the radius is 2 ft? (V = far)
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...
A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min. At what rate is the volume of the snowball decreasing when the radius is 18 cm. (Note the answer is a positive number). min 4 Hint: The volume of a sphere of radius ris V Question Help: D Video
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.
A spherical balloon with a radius of 15.0 cm is filled with oxygen gas at atmospheric pressure and at a temperature of 15.2°C. (a) What is the number of molecules of oxygen in the balloon? (b) What is the average kinetic energy of oxygen in the balloon? (c) What is the rms speed of oxygen in the balloon?