The ratio of total surface area and volume of a sphere is 1 : 7. This sphere is melted to form small spheres of equal size. The radius of each small sphere is 1/6th the radius of the large sphere. What is the sum (in cm2) of curved surface areas of all small spheres?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4. i.e. 33264
According to the question,
∴ Radius 'r' of smaller sphere 
No. of smaller spheres = 
n = 216
CSA of all small spheres 
= 33264