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Answer :
Final answer:
To find the base area, convert the tank's capacity to cubic meters and divide by the height. The correct base area for a 1500-liter cylindrical tank with a height of 1 meter is 1.5 square meters, which is not reflected in the provided options.
Explanation:
To calculate the base area of a cylindrical metal tank with a capacity of 1500 liters and a height of 1 meter, we need to use the formula for the volume of a cylinder, which is V = πr^2h, where V is the volume, r is the radius, and h is the height. First, convert the capacity from liters to cubic meters as 1 liter equals 0.001 cubic meters, which gives us 1.5 cubic meters. Now using the provided height, we can calculate the base area (A) as follows:
A = V / h = 1.5 m^3 / 1 m = 1.5 m^2
However, none of the provided options (A, B, C, D) match this result. Therefore, there might be an error in the options given. It is important to know that the correct base area needed for the tank would be 1.5 square meters.
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