**A = ** **π. (q2 + 2.r.h)**

**V = 1/3.π.h2.(3r – h)**

A = Area

V = volume

q = basement radius

r = radius

h = height

A spherical cap is a portion of a sphere that is cut off by a plane. The properties of a spherical cap include:

- Radius (r): The radius of the sphere from which the cap is derived.

- Height (h): The perpendicular distance from the base of the cap (the circular cross-section) to the top of the cap.

Spherical caps are commonly found in various applications in mathematics, engineering, and design, especially in the construction of domes and other curved structures.

The radius of the sphere is 5 cm. The height of the spherical cap is 2 cm and the radius of the base of the cap is 3 cm. What is the area and volume of the spherical cap?

Surface area:

Using the formula A = 2πrv + πq², we substitute the values:

A = 2 * 3.14 * 5 * 2 + 3.14 * 3²;

A = 6.28 * 10 + 3.14 * 9;

A = 62.8 + 28.26

A = 91.06 cm²

Volume:

Using the formula V = πv / 6 * (3ρ² + v²), we substitute the values:

V = ((3.14 * 2) / 6) * (3 * 3² + 2²);

V = (6.28 / 6) * (3 * 9 + 4);

V = 1.04666 * 31

V = 32.46 cm³

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