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?

Question

asked Feb 8, 2020 152k views

1 Answer

Yashwanth Kumar · Answer 1 · 2020-02-12T21:34:43+0000

Answer:

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

Explanation:

Given:

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

Volume of a quarter of a sphere is given as:

$V=(1)/(3)\pi r^(3)$

Plug in 70 ft for
,
for
$\pi$ and solve for the volume,
. This gives,

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

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