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Mensuration
A cylindrical tank has a diameter of 12 meters and a height of 15 meters. Calculate the volume of the tank.
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2 Replies
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The volume of a cylindrical tank can be calculated by using the formula V = πr²h, where V represents the volume, π is a constant approximately equal to 3.14159, r is the radius of the base, and h is the height of the cylinder.
In this case, we are given the diameter of the tank, which is 12 meters. To find the radius, we divide the diameter by 2:
Radius (r) = Diameter / 2 = 12 meters / 2 = 6 meters.
The height of the tank is given as 15 meters.
Now, we can substitute the values into the volume formula:
V = π × r² × h = 3.14159 × (6 meters)² × 15 meters.
Calculating this expression, we have:
V = 3.14159 × 36 square meters × 15 meters.
V = 3.14159 × 540 cubic meters.
V ≈ 1696.75304 cubic meters.
Therefore, the volume of the cylindrical tank, with a diameter of 12 meters and a height of 15 meters, is approximately 1696.75304 cubic meters.
It’s important to note that the answer is rounded to the appropriate decimal places. The volume represents the amount of space the tank can hold, measured in cubic units.
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The volume of a right cylinder can be calculated using the formula:
V = πr^2h
where V is the volume, r is the radius of the base, and h is the height.
The diameter of the cylinder is 12 meters, so the radius is half of that, or 6 meters. The height of the cylinder is 16 meters.
Putting these values into the formula, we get:
V = π(6 meters)^2(16 meters)
V = 1,814.37 cubic meters (rounded to two decimal places)
Therefore, the volume of the tank is 1,814.37 cubic meters
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