Answer:
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
