Last updated on July 9th, 2025
The volume of a circular tank is the total space it occupies or the capacity it can hold. A circular tank is typically cylindrical in shape. To find the volume of a circular tank, we multiply the area of its base by its height. In real life, kids can relate to the volume of a circular tank by thinking of things like a water tank, an oil drum, or a cylindrical container. In this topic, let’s learn about the volume of a circular tank.
The volume of a circular tank is the amount of space it occupies. It is calculated using the formula: Volume = π × radius² × height
Where ‘radius’ is the distance from the center to the edge of the base of the tank, and 'height' is the vertical distance from the base to the top.
Volume of Circular Tank Formula A circular tank is a 3-dimensional shape with a circular base.
To calculate its volume, multiply the area of the base (which is π × radius²) by its height.
The formula for the volume of a circular tank is given as follows: Volume = π × radius² × height
To derive the volume of a circular tank, we use the concept of volume as the total space occupied by a 3D object.
Since a circular tank has a circular base, its volume can be derived as follows: The formula for the volume of any cylindrical shape is: Volume = Base Area × Height
For a circular base: Base Area = π × radius²
Therefore, the volume of a circular tank will be: Volume = π × radius² × height
The volume of a circular tank is always expressed in cubic units, for example, cubic centimeters cm³, cubic meters m³. Calculate the base area using π × radius², then multiply it by the height to find the volume.
Let’s take a look at the formula for finding the volume of a circular tank: Write down the formula Volume = π × radius² × height
The radius is the distance from the center of the base to its edge. Once we know the radius and the height, substitute those values into the formula
Volume = π × radius² × height
To find the volume, calculate the base area and multiply it by the height.
Making mistakes while learning the volume of a circular tank is common. Let’s look at some common mistakes and how to avoid them to get a better understanding of the volume of circular tanks.
A circular tank has a radius of 4 m and a height of 10 m. What is its volume?
The volume of the circular tank is approximately 502.65 m³.
To find the volume of a circular tank, use the formula: V = π × radius² × height
Here, the radius is 4 m and the height is 10 m, so: V = π × 4² × 10 ≈ 502.65 m³
A circular tank has a diameter of 6 cm and a height of 12 cm. Find its volume.
The volume of the circular tank is approximately 339.12 cm³.
First, find the radius: Radius = Diameter/2 = 6 cm/2 = 3 cm
Then use the formula: V = π × radius² × height
Substitute the radius (3 cm) and height (12 cm): V = π × 3² × 12 ≈ 339.12 cm³
The volume of a circular tank is 785.4 m³, and its height is 5 m. What is the radius of the tank?
The radius of the tank is approximately 7 m.
To find the radius given the volume and height, rearrange the formula: Volume = π × radius² × height
785.4 = π × radius² × 5
Radius² = 785.4/(π × 5) Radius ≈ 7 m
A circular tank has a radius of 2.5 inches and a height of 8 inches. Find its volume.
The volume of the circular tank is approximately 157.08 inches³.
Using the formula for volume: V = π × radius² × height
Substitute the radius (2.5 inches) and height (8 inches): V = π × 2.5² × 8 ≈ 157.08 inches³
You have a circular tank with a radius of 3 feet and a height of 6 feet. How much space (in cubic feet) is available inside the tank?
The tank has a volume of approximately 169.65 cubic feet.
Using the formula for volume: V = π × radius² × height
Substitute the radius (3 feet) and height (6 feet): V = π × 3² × 6 ≈ 169.65 ft³
Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.
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