Need help to calculate a volume of a shape

Thread starter john7911
Start date Sep 30, 2016
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Shape Volume

In summary, the formula for calculating the volume of a shape depends on the specific shape and can include formulas such as V = s^3, V = lwh, V = πr^2h, V = (4/3)πr^3, and V = (1/3)πr^2h. The necessary measurements will also vary depending on the shape, with cubes and rectangular prisms requiring length, width, and height, cylinders requiring radius and height, spheres requiring only radius, and cones requiring radius and height. It is important to use the same unit of measurement for all dimensions in the volume formula. If the shape is irregular, more advanced methods may be needed to calculate the volume. Calculating volume

Sep 30, 2016

john7911

Hi,
I am looking for a formula to have the volume of this shape.

Here is how we draw it:

Thank you for your help :)

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Sep 30, 2016

Nidum

Science Advisor

Gold Member

This is a 'volume of revolution' problem . Look it up .

There is a graphical method as well . Also some CAD systems can work this out for you .

Related to Need help to calculate a volume of a shape

What is the formula for calculating the volume of a shape?

The formula for calculating the volume of a shape depends on the specific shape. Some common volume formulas include:

Cube: V = s^3 (s represents the length of one side)
Rectangular prism: V = lwh (l, w, and h represent the length, width, and height)
Cylinder: V = πr^2h (r represents the radius, h represents the height)
Sphere: V = (4/3)πr^3 (r represents the radius)
Cone: V = (1/3)πr^2h (r represents the radius, h represents the height)

How do I find the measurements needed to calculate the volume?

The measurements needed to calculate the volume will depend on the shape. For a cube or rectangular prism, you will need to measure the length, width, and height. For a cylinder, you will need to measure the radius and height. For a sphere, you will only need to measure the radius. For a cone, you will need to measure the radius and height.

Can I use different units of measurement for the length, width, and height?

No, all measurements used in the volume formula must be in the same unit of measurement. If your length is in feet, your width and height must also be in feet.

What if the shape is not a regular geometric shape?

If the shape is not a regular geometric shape, it may be more challenging to calculate the volume. In this case, you may need to use advanced mathematical equations or computer software to find the volume.

Why is calculating volume important?

Calculating volume is important for various scientific and real-world applications. It can help in designing and building structures, determining the amount of liquid or gas in a container, and solving problems in physics, chemistry, and engineering.