Question

The main show tank has a radius of 70 feet and forms a quarter sphere what is the volume of the quarter sphere shaped tank?

Answer 1

Answer:

$359333.33\textrm{ }ft^{3}$

Step-by-step explanation:

Given:

Radius of spherical tank, $r=70\textrm{ ft}$

Volume of a quarter of a sphere is given as:

$V=\frac{1}{3}\pi r^{3}$

Plug in 70 ft for $r$, $\frac{22}{7}$ for $\pi$ and solve for the volume, $V$. This gives,

$V=\frac{1}{3}\pi r^{3}\\\\ V=\frac{1}{3}\times \frac{22}{7}\times (70)^{3}\\\\ V=359333.33\textrm{ }ft^{3}$

Therefore, the volume of the quarter sphere shaped tank is $359333.33\textrm{ }ft^{3}$