Capsule volume calculator

From ancient times, people needed to measure the amount of various substances. Bulk substances and liquids could be measured by filling them with vessels of a certain capacity, determining their quantity by volume. The concept of volume in solid geometry is introduced similarly to the concept of area in plane geometry. In plane geometry, we determined the area like this: the area of ​​a polygon is the value of the part of the plane that the polygon occupies. To formulate the concept of volume similarly to this concept. The magnitude of the part of the space occupied by the geometric body is called the volume of this body. Volume is measured in "cubic" units.

The capsule, or stadium of revolution, is one of the main three-dimensional geometric shapes, consisting of a cylinder with hemispherical ends. Another name for this form is spherocylinder. The shape usually is used for containers for pressurized gases and pharmaceutical capsules.

Capsules are a common form of medication, and knowing the volume of a capsule is important for determining dosage. The formula for finding the volume of a capsule is:

V = \pi r^2 (\dfrac{4}{3}r + h)

where V is the volume, r is the radius of the circular end of the capsule, and h is the height of the capsule.

How to Use the Capsule Volume Calculator

Our capsule volume calculator makes it easy to find the volume of your capsule. To use the calculator:

1. Enter the radius (r) of the circular end of the capsule in the first box.
2. Enter the height (h) of the capsule in the second box.
3. The calculator will automatically calculate the volume of your capsule.

Capsule Volume Examples

Here are some examples of finding the volume of a capsule using the formula:

Example 1: Find the volume of a capsule with a radius of 0.5 cm and a height of 1.5 cm.

V = π(0.5)²(1.5) + 4/3π(0.5)³

V = 1.1781 cm³

Example 2: Find the volume of a capsule with a radius of 1 cm and a height of 2 cm.

V = π(1)²(2) + 4/3π(1)³

V = 12.5664 cm³

Conclusion

Calculating the volume of a capsule is important for determining the correct dosage of medication. Our capsule volume calculator and formula make it easy to find the volume of your capsule. Try it out for yourself and see how easy it can be!