If the ratio of the diameters of two spheres is 3: 5, then what is the ratio of their surface areas?
Correct Answer: 9 : 25
Explanation:
Let the diameter's of two sphere are d1 and d2, respectively.
∴ Ratio of their surface areas = 4πr12/4πr22
= (2r1)2/(2r2)2 = d12/d22
= (d1/d2)2 = (3/5)2 = 9/25 = 9 : 25