Question

The ratio of two radii of two spheres is 15:8. If the surface area of larger sphere is 706.9 mm2, fine the surface area of the smaller sphere.

Answer 1

201.1 mm²

Explanation:

Smaller sphere = 8

Larger sphere = 15

Larger sphere surface area = 706.9 mm²

Smaller sphere surface area = x

Hence:

Since we are dealing with surface area

8²/15² = x/ 706.9

Cross Multiply

15² × x = 706.9 × 8²

x = 706.9 × 8²/15²

x = 201.07377778 mm²

x ≈ 201.1 mm²

Therefore, the surface area of the smaller sphere is 201.1 mm²