Question

If the ratio of the areas of two circles is 16:25 what will be the ratio of their circumference
The ratio between the volume of two spheres is 8:27. Find the ratio of their surface areas.
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Answer 1

Step-by-step explanation:

given

ratio of area of two circles=16/25

i.e., (πR^2)/(πr^2)=16/25

=(R/r)^2=(4/5)^2

R/r=4/5

Now, ratio of their circumference

2πR/2πr

=R/r

=4/5

ratio of the volume of two spheres=8:27

((4πR^3)/3)/(4πr^3)/3)=8/27

(R/r)^3=(2/3)^3

R/r=2/3

ratio of their surface area=

4πR^2/4πr^2

R^2/r^2

=2^2/3^2

=4/9

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