There is a ratio 1 : 4 between surface area of two spheres find the ratio between their radius.

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asked Mar 16 in Class X Maths by priya12 (-12,564 points)

There is a ratio 1 : 4 between surface area of two spheres, find the ratio between their radius.

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answered Mar 16 by aditya23 (-2,140 points)

Let radius of spheres are r1 and r2

So, surface area of spheres is 4πr12 and 4πr22

Ratio of surface area = 4πr12/ 4πr22 = ¼

= r12/r22 = ¼

r1/r2 = 1/2

Hence, the ratio between their radius = 1 : 2.

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