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

`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
`r`,
`(22)/(7)` for
`\pi` and solve for the volume,
`V`. 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)`