Question

The main show tank has a radius of 60 feet and forms a quarter-sphere. what is the volume of the quarter-sphere shaped tank? round your answer to the nearest whole number. you must explain your answer using words, and you must show all work and calculations to receive credit

Answer 1

The volume of the quatter-sphere shaped tank is
`226,080 feet^3`.

Explanation:

Radius of the sphere,r = 60 feet

Volume of the sphere is given by:

`V=(4)/(3)\pi r^3`

Volume of the sphere:(V)

`(4)/(3)* 3.14 * (60 feet)^3=904,320 feet^3`

Volume of the quarter of the sphere:

`(1)/(4)* Volume(V) = 226,080 feet^3`

The volume of the quatter-sphere shaped tank is
`226,080 feet^3`.

Answer 2

By definition, the volume of a quarter of a sphere is given by:

`V = (1/4) * (4/3) * (\pi) * (r ^ 3)`
Where,
r: sphere radius
Substituting values we have:

`V = (1/4) * (4/3) * (3.14) * (60 ^ 3)`
Making the corresponding calculation we have:

`V = 226080 feet ^ 3`
Answer:
The volume of the quarter-sphere shaped tank is:

`V = 226080 feet ^ 3`