a solid sphere of radius R centimetre in cut into two equal has the ratio between the surface area of the first to the total surface area is in centimetres square of both the basis so obtained
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Surface area of a sphere is 4*pi*r^2.
The sphere is divided into four parts. So each part will have a curved surface area of pi*r^2. Also each part will have two flat surfaces. Area of each flat surface will be equal to the area of a semicircle with the same radius as that of sphere. So area of each flat surface is pi*r^2/2.
So total surface area of each part is
pi*r^2 + pi*r^2/2 + pi*r^2/2
=2*pi*r^2.
Total surface area of 4 pieces
=8*pi*r^2.
The sphere is divided into four parts. So each part will have a curved surface area of pi*r^2. Also each part will have two flat surfaces. Area of each flat surface will be equal to the area of a semicircle with the same radius as that of sphere. So area of each flat surface is pi*r^2/2.
So total surface area of each part is
pi*r^2 + pi*r^2/2 + pi*r^2/2
=2*pi*r^2.
Total surface area of 4 pieces
=8*pi*r^2.
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