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A rectangular tank 60 cm long and 50 cm wide is /5 full of water. When 24 liters of water are added, the water level rises to the brim of th
Question
A rectangular tank 60 cm long and 50 cm wide is /5 full of water. When 24 liters of water are added, the water level rises to the brim of the tank. Find the height of the tank. (1 liter is 1000cm3 )
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Mathematics
3 years
2021-07-31T03:56:02+00:00
2021-07-31T03:56:02+00:00 1 Answers
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Answers ( )
Answer:
The tank is 10cm high
Step-by-step explanation:
Given
Required
The height of the tank
Let y represents the remaining fraction before water is added.
So:
Make y the subject
Solve
Represent the volume of the tank with v
So:
Make v the subject
Substitute:![Rendered by QuickLaTeX.com y = \frac{4}{5}](https://documen.tv/wp-content/ql-cache/quicklatex.com-44b065be9987bd11a1fc473960c29449_l3.png)
Represent the height of the tank with h;
So, the volume of the tank is:
Make h the subject
Substitute values for v, l and w
Convert 30L to cm^3