The ratio of total surface area and volume of a sphere is 1 : 7. This…

Question

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 1/6 the radius of the large sphere. What is the sum (in cm2)…

Accepted Answer

Option D. 33264. Answer & Solution Answer: Option D Solution: & Total surface area Volume = 1/7 & 4 r^24/3 r^3 = 1/7 & r = 21 cm & Radius of small sphere = 1/6 × r & = 1/6 × 21 & = 7/2 cm & Number of small sphere & = Volume of large sphere Volume of small sphere & = 4/3 R^34/3 r^3 & = 21 × 21 ×…

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 1/6 the radius of the large sphere. What is the sum (in cm2) of curved surface areas of small spheres?

Solution