Answer:
Diameter = 33 feet
Step-by-step explanation:
Diameter = 2 x radius
Given that the volume = 18174 [tex]ft^{3}[/tex], then;
Volume of sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
where r is the radius of the sphere.
Thus,
18174 = [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex]r^{3}[/tex]
= [tex]\frac{88}{21}[/tex] [tex]r^{3}[/tex]
18174 x 21 = 88 [tex]r^{3}[/tex]
381654 = 88 [tex]r^{3}[/tex]
[tex]r^{3}[/tex] = [tex]\frac{381654}{88}[/tex]
= 4336.9773
r = [tex]\sqrt[3]{4336.9773}[/tex]
r = 16.3078
The diameter of the sphere = 2 x 16.3078
= 32.6156
= 33 feet
