Respuesta :
Answer:
This means the mock-up tank has a volume 216 times smaller than the initial tank.
Step-by-step explanation:
The ratio between volume is given by
[tex]\frac{V_2}{V_1}=\frac{(1/6)L^{3} }{L^{3}} =\frac{1}{216}[/tex]
This means the mock-up tank has a volume 216 times smaller than the initial tank.
Answer:
1047.2 ft³
Step-by-step explanation:
The following information is missing:
The main show tank has a radius of 60 feet and forms a quarter sphere where the bottom of the pool is spherical and the top of the pool is flat. (Imagine cutting a sphere in half vertically and then cutting it in half horizontally)
The only dimension needed for the main show tank is its radius. Then the model radius will be 1/6 * 60 = 10 feet
The volume of a sphere is:
V = 4/3 * π * r³
For a quarter sphere it is:
V = 4/3 * π * r³ * 1/4
V = 1/3 * π * r³
For the smaller mock-up tank:
V = 1/3 * π * 10³
V = 1047.2 ft³
