Ask Question
12 September, 00:25

If the radius of a sphere is increasing at the rate of 2 inches per second how fast

+2
Answers (1)
  1. 12 September, 02:15
    0
    You haven't shared all of the question, so I'll guess that you want to find "how fast is the area of the sphere increasing?"

    Area of a sphere = 4*pi*r^2

    Rate of change of area of a sphere with respect to radius r:

    dA/dr = 8*pi*r * (dr/dt)

    Here, that would come out to

    dA/dr = 8*pi*r * (2 inches / sec)

    If you meant, "how fast is the volume of the sphere increasing?" you'd need to use a different equation:

    V = (4/3) * pi) * r^3

    and go through a similar process.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “If the radius of a sphere is increasing at the rate of 2 inches per second how fast ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers