Answer:
[tex]359333.33\textrm{ }ft^{3}[/tex]
Step-by-step explanation:
Given:
Radius of spherical tank, [tex]r=70\textrm{ ft}[/tex]
Volume of a quarter of a sphere is given as:
[tex]V=\frac{1}{3}\pi r^{3}[/tex]
Plug in 70 ft for [tex]r[/tex], [tex]\frac{22}{7}[/tex] for [tex]\pi[/tex] and solve for the volume, [tex]V[/tex]. This gives,
[tex]V=\frac{1}{3}\pi r^{3}\\\\ V=\frac{1}{3}\times \frac{22}{7}\times (70)^{3}\\\\ V=359333.33\textrm{ }ft^{3}[/tex]
Therefore, the volume of the quarter sphere shaped tank is [tex]359333.33\textrm{ }ft^{3}[/tex]
