Answer:
a. 20,579.52 cubic inches
b.10,289.76 cubic inches.
c. 13.49 inches
Explanation:
Hi, to answer this question we have to calculate the volume of a sphere:
Volume of a sphere: 4/3 π r³
Since diameter (d) = 2 radius (r)
Replacing with the value given:
34 =2r
34/2=r
r= 17 in
Back with the volume formula:
V = 4/3 π r³
V =4/3 π (17)³
V = 20,579.52 cubic inches
The volume of the half-inflated balloon is equal to the volume of the sphere divided by 2.
20,579.52/2 = 10,289.76 cubic inches.
To find the radius of the half-inflated balloon we have to apply again the volume formula and substitute v=10,289.76
10,289.76= 4/3 π r³
Solving for r
10,289.76/ (4/3 π)= r³
2,456.5 = r³
∛2,456.5 = r
r = 13.49 inches