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sarahfsakrani
11.01.2020 •
Mathematics
Afish tank is in the shape of a rectangular prism with dimensions 36 in. x 12 in. x 12
in. the tank is 80% filled with water. a stone, roughly the shape of a sphere with a 4
in. radius, is placed in the tank. the stone sinks to the bottom.
how many cubic inches of space in the fish tank remain in the tank after the stone is
added to the tank?
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Ответ:
about 769 cubic inches
Step-by-step explanation:
Before the stone is added, 20% of the tank volume is empty. The empty volume is ...
0.20LWH = 0.20(36 in)(12 in)² = 7.2×144 in³ = 1036.8 in³
The volume of the sphere is given by ...
V = (4/3)πr³ = (4/3)π(4 in)³ = 256π/3 in³ ≈ 268.08 in³
Then the remaining empty volume after the stone is added is ...
1036.80 in³ -268.08 in³ = 768.72 in³
The empty volume in the tank after the stone is added is about 768.72 in³.
Ответ: