Ask Question
16 September, 00:55

A spherical balloon has a 28-in. Diameter, when it is fully inflated half of the air, is let out of the balloon. Assume that the balloon remains a sphere.

a: Find the volume of the fully-inflated balloon.

b: Find the volume of the half-inflated balloon.

c: What is the radius of the half-inflated balloon?

+4
Answers (1)
  1. 16 September, 01:24
    0
    a: V = 11494.04 in3

    b: V_half = 5747.02 in3

    c: r = 11.11 in

    Step-by-step explanation:

    The volume of a sphere is given by:

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

    Where r is the radius.

    a: If the diameter is 28 in, the radius is 28/2 = 14 in, so the volume is:

    V = (4/3) * pi*14^3 = 11494.04 in3

    b: The volume of the half-inflated balloon will be half the volume of the fully-inflated balloon, so V_half = V/2 = 5747.02 in3

    c: To find the radius of the half-inflated balloon we just need to use its volume in the formula:

    5747.02 = (4/3) * pi*r^3

    r^3 = 5747.02 / (4pi/3) = 1372

    r = 11.11 in
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “A spherical balloon has a 28-in. Diameter, when it is fully inflated half of the air, is let out of the balloon. Assume that the balloon ...” 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