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# Calculate The Volume of A Spherical Cap

Last updated: Saturday, April 29, 2023
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Sphere
Hemisphere
Spherical Cap
Spherical Wedge
Spherical Zone

A spherical cap is a three-dimensional geometric shape that is formed by cutting a sphere with a plane that is not parallel to the base of the sphere. It consists of a spherical surface and a circular base that is perpendicular to the axis of the sphere.

Spherical caps can be found in various objects such as some lampshades, lenses, and the top part of some containers. They can also be seen in architectural structures like domes, arches, and some roofs. Some natural examples of spherical caps include the top part of a mushroom and the rounded top of a hill.

Easily calculate the volume of a spherical cap with step-by-step guidance using our free calculator below.

The formula for determining the volume of a spherical cap is defined as:
$$V$$ $$=$$ $$\dfrac{1}{3}$$ $$\cdot$$ $$\pi$$ $$\cdot$$ $$r^3$$ $$\cdot$$ $$(2$$ $$-$$ $$3 \cdot \sin(\theta)$$ $$+$$ $$\sin^3(\theta))$$
$$V$$: the volume of the spherical cap
$$r$$: the radius of the sphere
$$\theta$$: the contact angle
The SI unit of volume is: $$cubic \text{ } meter\text{ }(m^3)$$

## Find $$V$$

Use this calculator to determine the volume of a spherical cap when the radius and the contact angle are given.
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$$r$$
$$meter$$
the contact angle
$$\theta$$
$$degree$$
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