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lorasvet [3.4K]
3 years ago
11

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? rou

nd 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
Mathematics
2 answers:
schepotkina [342]3 years ago
7 0
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
dybincka [34]3 years ago
3 0

Answer:

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

Step-by-step explanation:

Radius of the sphere,r = 60 feet

Volume of the sphere is given by:

V=\frac{4}{3}\pi r^3

Volume of the sphere:(V)

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

Volume of the quarter of the sphere:

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

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

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