If ratio of the surface area of the spheres is 1/36 then determine the ratio of the volume
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Let the radius of one sphere be R and of other be r.
Now we are given that Surface area of spheres are;
4πR^2÷4πr&2=1/36
Therefore by substituting;
R÷r=1/6. ......eq.1)
Now;
Volume of sphere ;
4/3πR^3÷4/3πr^3
=>R^3÷r^3=1/6 【From above eq. one】
=>1/6 whole cube
=>1/216
Therefore the ratio of volumes are
1:216.
hope it helps
Now we are given that Surface area of spheres are;
4πR^2÷4πr&2=1/36
Therefore by substituting;
R÷r=1/6. ......eq.1)
Now;
Volume of sphere ;
4/3πR^3÷4/3πr^3
=>R^3÷r^3=1/6 【From above eq. one】
=>1/6 whole cube
=>1/216
Therefore the ratio of volumes are
1:216.
hope it helps
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