Total Surface Area Of A Sphere Math

Lateral surface area of the cylinder 2 π r 2 r 4 π r 2.

Total surface area of a sphere math. This formula was discovered over two thousand years ago by the greek philosopher archimedes. The lateral surface area of the cylinder is 2 π r h where h 2 r. Which multiplied out gives. 4 π r.

The formula of total surface area of a sphere in terms of pi π is given by. 2 π r 2r. Which means that the formula for the surface area of the curved cylinder encasing the sphere can be re written as. Since a hemisphere is half of a sphere its surface area s is half the surface area of a sphere plus the area of the circular base shown in gray created by intersection of the plane and sphere.

The difference between a sphere and a circle is that a circle is a two dimensional figure or a flat shape whereas a sphere is a three dimensional shape. Where r is the radius of the hemisphere. Therefore the surface area of a sphere with radius r equals 4 π r 2. S 4πr 2 2 πr 2 3πr 2.

The ultimate guide to surface area of a sphere brilliant math science wikisubject today. Area 4 π r. The surface area of a sphere is 4πr 2. Thus we have the result being the area of sphere formula.

Surface area of a sphere with radius r 4 π r2 then cap area of hemisphere is half surface area of the sphere i e cap area or curved surface area of the hemisphere 1 2 4 π r2 2 π r2 flat surface area or base area of the hemisphere area of the circle with same radius π r2.