math

posted by .

a boy is blowing a spherical balloon at a rate of 50 cm3/s.at what rate is the radius of the balloon changing when the radius is 10 cm?give your answer to 2 decimal places.

  • math -

    I assume you do calculus.

    V= 4/3 PI r^3
    dV/dt= 4 PI r^2 dr/dt

    you are given dV/dt= 50cm^3/s; find dr/dt

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    t: 0 2 5 7 11 12 r'(t): 5.7 4.0 2.0 1.2 0.6 0.5 The volume of a spherical hot air balloon expands as the air inside the balloon is heated. The radius of the balloon in feet is modeled by a twice-differentiable function of r of time …
  2. Calculus

    A spherical balloon is inflated at a rate of 10 cubic feet per minute. How fast is the radius of the balloon changing at the instant the radius is 4 feet?
  3. Calculus

    A spherical balloon is being inflated at a rate of 10 cubic inches per second. How fast is the radius of the balloon increasing when the surface area of the balloon is 2pi square inches?
  4. calculus

    A spherical balloon is being inflated at a rate of 10 cubic inches per second. How fast is the radius of the balloon increasing when the surface area of the balloon is square inches?
  5. math

    a boy is blowing a spherical balloon at a rate of 50 cm3/s.at what rate is the radius of the balloon changing when the radius is 10 cm?
  6. calculus

    air is being pumped into a spherical balloon at a rate of 8 cm^3/min. Find the rate at which the radius of the balloon is increasing when the balloon's radius is 5 cm.
  7. Calculus Homework

    You are blowing air into a spherical balloon at a rate of 7 cubic inches per second. The goal of this problem is to answer the following question: What is the rate of change of the surface area of the balloon at time t= 1 second, given …
  8. Calc

    If the volume of a spherical balloon is changing at a rate of 10 cm3 /s, how fast is the surface area changing when the radius is 6.5 cm?
  9. calculus

    A spherical balloon is being inflated so at the rate of 8cm3/sec. determine the rate at which the radius of the balloon is changing when the radius is 10
  10. ab calculus

    Air is being blown into a spherical balloon at the rate of 75 cm3/s. Determine the rate at which the radius of the balloon is increasing when the radius is 28 cm.

More Similar Questions