the radii of two sphere are in the ratio 2:5. Find the ratio between their surface area
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Step-by-step explanation:
Let the radius of two sphere number is r1 and r2
∵ r1/r2 = 1/3
Volume of spheres, V1 = 4/3πr13
and V2 = 4/3πr23
Now, V1/V2 = r13/r23 = (r1/r2)3
= (1/3)3 = 1/27
∴ V1 : V2 = 1 : 27
Hence, the volume of two spheres are in the ratio of 1 : 27.
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