Ask Question
20 October, 22:40

A sphere has a volume of V=576 in3. Find its surface area.

+1
Answers (2)
  1. 20 October, 22:42
    0
    V = (4/3) * pi * r^3

    A = 4 * pi * r^2

    These formulas share "r" in common, so a good idea would be to solve for r using the formula for V since we are given the volume.

    576 = (4/3) * pi*r^3

    576 * (3/4) = pi*r^3

    576 * (3/4) / pi = r^3

    (576 * 3/4 / pi) ^ (1/3) = r

    (notice that (r^3) ^ (1/3) = r)

    432 / pi = r

    Since r^2 is in the surface area formula, let's solve for that.

    r = 432 / pi

    r^2 = (432/pi) ^2

    = 432^2 / pi^2

    = 186624 / pi^2

    A = 4 * pi * r^2

    = 4 * pi * (186624 / pi^2)

    = 4 * 186624 * (pi / pi^2)

    = 4 * 186624 * (1 / pi)

    = 4 * 186624 / pi

    = 237617.0568 in^2
  2. 20 October, 22:53
    0
    Volume = (4/3) * π * r 3 cubic units

    Area = 4 * π * r 2 square units.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “A sphere has a volume of V=576 in3. Find its surface area. ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers