Table of Contents
What is a Sphere?
Surface Area of a Hemisphere – Introduction: A sphere is a three-dimensional object that is completely round, like a ball. Every point on the surface of a sphere is the same distance from the center of the sphere, which is why spheres are often used in mathematical models.
What is Hemisphere?
A hemisphere is a half-sphere, and is therefore a three-dimensional object. It is define as the solid figure form by the union of all the points that are equidistant from a given point, known the center, within a given plane, called the equatorial plane.
The Surface Area of Hemisphere
A hemisphere is a three-dimensional shape with one flat side and one curved side. The surface area of a hemisphere is the sum of the areas of the curved side and the flat side. The surface area of a hemisphere with a radius of r is given by the formula: surface area = 2πr² + 2πr. The first term, 2πr², is the area of the curved side of the hemisphere, and the second term, 2πr, is the area of the flat side.
Solved Examples
A hemisphere is half of a sphere. It creates slicing of a sphere along a plane that passes through its center. The surface area of a hemisphere can calculate using the formula, Surface area of hemisphere = 2πr2. Where r is the radius of the hemisphere.
Examples
1) Find the surface area of a hemisphere with a radius of 5 cm.
Surface area of hemisphere = 2πr2
= 2 x 3.14 x 5 x 5
= 314 cm2
2) Find the surface area of a hemisphere with a radius of 10 m.
Surface area of hemisphere = 2πr2
= 2 x 3.14 x 10 x 10
= 1256 m2
