Answer:
a. 2144.66 cubic inches
b.1072.33 cubic inches.
c. 16 inches
Explanation:
hello, to answer this question we have to calculate the volume of sphere:
Volume of sphere: 4/3 π r³
Since diameter (d) = 2 radius (r)
Replacing with the value given:
16 =2r
16/2=r
r= 8 in
Back with the volume formula:
V = 4/3 π r³
V =4/3 π (8)³
V = 2144.66 cubic inches
The volume of the half-inflated balloon is equal to the volume of the sphere divided by 2.
2144.66/2 = 1072.33 cubic inches.
To find the radius of the half-inflated balloon we have to apply again the volume formula and substitute v=1072.33
1072.33 = 4/3 π r³
Solving for r
1072.33 / (4/3 π)= r³
256= r³
16 = r
r = 16 inches