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← Volume and Surface Area of Cylinders, Cones, and Spheres

Concept

Hemisphere

A hemisphere is a three-dimensional object formed by half of a sphere and a flat circular base. Any plane that goes through the center of a sphere divides it into two hemispheres.

The radius

r

of a hemisphere is the segment that connects the center

O

with any point on the hemisphere. The radius of a sphere is the same as the radius of any of its hemispheres. The volume of a hemisphere with radius

r

is half the volume of a sphere with radius

r .

Volume V = \frac{2}{3} π r^{3}

The surface area of a hemisphere with radius

r

is the circular flat area plus half the surface area of a sphere with radius

r .

Surface Area 2 π r^{2} + π r^{2} = 3 π r^{2}

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