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Mytour has previously shared how to calculate the area of a spherical cap. In this article, we continue by sharing how to calculate the volume of a spherical cap, providing useful knowledge for your exercises or work.
Formula for calculating the volume of a spherical cap
Formula for calculating the volume of a spherical cap
Where:
- V: Volume of the spherical cap.
- a: Radius of the circular cross-section of the spherical cap.
- r: Radius of the sphere.
- h: Height of the spherical cap.
Proof of the formula for calculating the volume of a spherical cap
Exercises on calculating the volume of a spherical cap
Exercise 1: Given a spherical cap with a height h = 3cm and a radius of the circular cross-section a = 6cm. Calculate the volume of the spherical cap.
Solution:
Exercise 2: Given two spheres with the same radius r = 4cm, with centers O1 on circle S2 and O2 on circle S1. Calculate the common volume of these two spheres.
Solution:
Through hints on how to calculate the volume of a spherical cap and the formula provided, it is hoped that you can quickly grasp and calculate the volume of a spherical cap easily when encountering related exercises, thereby improving your scores and excelling in Mathematics.
