A storage tank is in the form of a cube. When it is full of water, the volume ofwater is 15.625 m 3.If the present depth of water is 1.3 m, find the volume of wateralready used from the tank.
Question
A storage tank is in the form of a cube. When it is full of water, the volume ofwater is 15.625 m 3.If the present depth of water is 1.3 m, find the volume of wateralready used from the tank.
Solution
To solve this problem, we need to follow these steps:
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First, we need to find the side length of the cube. Since the volume of a cube is given by the formula V = s^3 (where s is the side length), we can find the side length by taking the cube root of the volume. So, the side length of the tank is ∛15.625 = 2.5 m.
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Next, we need to find the volume of the water currently in the tank. Since the tank is a cube, the volume of the water is simply the current depth times the area of the base. The area of the base is s^2 = 2.5^2 = 6.25 m^2. So, the volume of the water is 1.3 * 6.25 = 8.125 m^3.
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Finally, we subtract the current volume of the water from the total volume of the tank to find the volume of water that has been used. So, the volume of water used is 15.625 - 8.125 = 7.5 m^3.
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