# The ratios of areas of two spheres is 1:4. Find the radius of larger one if the small one has 5cm radius.

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Expert Answers

jeew-m | Certified Educator

Area of a sphere is given by;

`A = 4pir^2`

Let us say the area of the large sphere is rcm.

`A_L = 4pir^2 ---(1)`

`A_M = 4pi(5)^2 -----(2)`

(1)/(2)

`A_L/A_M = r^2/25`

`4/1 = r^2/25`

`r^2 = 100`

`r = 10`

*So the radius of the larger sphere is 10cm.*

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