the volumes of two spheres are in the ratio64:27.find the ratio of their surface areas
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Step-by-step explanation:
ratio of surface area is 16:9
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Answered by
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Answer: Ratio = 16:9
Step-by-step explanation:
volume of sphere = (4*22/7*r^3)/3
so, (88/7*r1^3)/3 * 3/(88/7*r2^3) = 64/27
r1^3/r2^3= 64/27
cube root both sides
r1/r2 = 4/3
surface area of sphere = 88r^2/7
88r1^2/7 * 7/88r2^2
r1^2/r2^2
4^2/3^2
16/9
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