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How many liters of water will be needed to three-fourths filled 30 cm diameter cylindrical tank that is 1.51 m tall if the density of water is 1.0 g-ml?
Wiki User
∙ 13y ago
A diameter of 30cm gives a radius of 15cm.
The volume of a cylinder is {pi} x radius2 x height
The volume required to fill to three quarters full is:
volume = {pi} x (15cm)2 x 151cm x 3/4
~= 80052cm3.
1 l = 1000cm3
=> volume ~= 80.052 l
So a little over 80 liters of water will be required, regardless of its density which will play a role in working out how much the 80+ liters of water will weigh (and thus whether the container is strong enough to actually contain it).
Wiki User
∙ 13y ago
The volume of the cylindrical tank can be calculated using the formula V = πr^2h, where r is the radius and h is the height. Thus, the volume of the tank is about 21385.35 cm^3. Since the tank is three-fourths filled, the volume of water needed is 21385.35 cm^3 * 0.75 ≈ 16039.01 cm^3. Converting this to liters, we get 16.039 liters.
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