What will be The Ratio of Their Surface Sreas?

The ratio of the diameters of two spheres is 3 : 5. What will be the ratio of their surface areas?

  1. 9: 10
  2. 3: 5
  3. 27:125
  4. 9:25
Anurag Mishra Professor Asked on 6th September 2015 in Maths.
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1 Answer(s)

Answer: (4) 9: 25

Explanation:-
The ratio of the diameters of two spheres = 3: 5
Then, the ratio of the radius of two spheres = 3/2: 5/2

Formula-
The surface area of the sphere = 4 Pai r2

Then, the ratio of two sphere surface area = 4 Pai (3/2)2/4 Pai (5/2)2
= (3)2: (5)2
= 9: 25

Hence, the answer is (4) 9: 25.

Anurag Mishra Professor Answered on 8th September 2015.
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