Since weight is proportional to volume, the volume ratio is 5920 / 740 = 8. Thus, the radius ratio is the cube root of 8, which is 2. The larger sphere’s radius is 2 × 2.5 = 5 cm.
Ganita Manjari Part 2 Class 9 Chapter 14 Step by Step Solutions
Class 9 Chapter 14 Math of Space Surface Area and Volume (Ganita Manjari 2) Solutions
Because both solid spheres are made of the same metal, their weights are directly proportional to their volumes. The ratio of their volumes is V₁ / V₂ = 5920 / 740 = 8. Since volume is proportional to r³, the ratio of their radii is R / r = ∛8 = 2. The smaller sphere’s radius is 5 / 2 = 2.5 cm, so the larger sphere’s radius is 2 × 2.5 = 5 cm.
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