Question

If the ratio of diameters of two sphere is 3:4. Find the ratio of their surface area

Answer 1

Ratio of diameters = 3:4

Let the diameters be 3x, 4x. Radi = 3x/2 , 2x

ATP,

SA for first sphere = 4π(3x/2)² = 9πx²

SA for second sphere = 4π(2x)² = 16πx²

Ratio = 9:16