A solid sphere is cut into two equal halves. What is the ratio of the total surface area of each hemisphere to that of the solid sphere?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 3 : 4.
A solid sphere is cut into two equal halves.
So, the radius of the solid sphere and hemisphere are the same.
The total surface area of solid sphere = 4𝜋r2
The total surface area of the hemisphere = 3𝜋r2
The required ratio = 3𝜋r2 : 4𝜋r2 = 3 : 4