Math (Calculus)

posted by .

A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.3 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 10 cm.

Can someone help & explain how to solve this question? Please.

  • Math (Calculus) -

    v = 4/3 pi r^3
    dv/dt = 4pi r^2 dr/dt
    = 4pi * 25cm^2 * -0.3cm/min
    = -30pi cm^3/min

  • Math (Calculus) -

    small correction to Steve's solution

    d(diameter)/dt = -.3
    dr/dt = -.15

    so dv/dt = 4π(25)(-.15) = -15π cm^3/min

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. MATH

    A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.2 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 8 cm?
  2. Math!

    A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.4 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 10 cm. (Note the answer is a positive number).
  3. Calculus

    A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.2 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 16 cm.
  4. math

    A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.2 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 12 cm. (Note the answer is a positive number).
  5. Calc

    A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.4 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 10 cm. (The answer is a positive number).
  6. calc

    A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.4 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 16 cm. (Note the answer is a positive number).
  7. CAL

    (1 pt) A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.3 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 8 cm. (Note the answer is a positive number).
  8. related rates

    A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.4 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 8 cm. (Note the answer is a positive number).
  9. calculus

    A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.2 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 8 cm. (Note the answer is a positive number).
  10. Calc

    A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.3 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 13 cm. (Note the answer is a positive number).

More Similar Questions