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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

Respuesta :

carlosego
By definition, the volume of a quarter of a sphere is given by:
 [tex]V = (1/4) * (4/3) * (\pi) * (r ^ 3) [/tex]
 Where,
 r: sphere radius
 Substituting values we have:
 [tex]V = (1/4) * (4/3) * (3.14) * (60 ^ 3) [/tex]
 Making the corresponding calculation we have:
 [tex]V = 226080 feet ^ 3[/tex]
 Answer:
 The volume of the quarter-sphere shaped tank is:
 [tex]V = 226080 feet ^ 3[/tex]

Answer:

The volume of the quatter-sphere shaped tank is [tex]226,080 feet^3[/tex].

Step-by-step explanation:

Radius of the sphere,r = 60 feet

Volume of the sphere is given by:

[tex]V=\frac{4}{3}\pi r^3[/tex]

Volume of the sphere:(V)

[tex]\frac{4}{3}\times 3.14 \times (60 feet)^3=904,320 feet^3[/tex]

Volume of the quarter of the sphere:

[tex]\frac{1}{4}\times Volume(V) = 226,080 feet^3[/tex]

The volume of the quatter-sphere shaped tank is [tex]226,080 feet^3[/tex].

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