Question

The volumes of two spheres are in ratio 27:8.The ratio of their curved surface area is a.)9:4 b.)4:9 C.)3:2 D.)2:3​

Answer 1

Answer:

Let r1 and r2 be the radius of the two spheres.

4/3 π r1³ : 4/3 π r2³ = 27 : 8

r1³ : r2³ = 27 : 8

r1 : r2 = ∛ 27 : 8

r1 : r2 = 3 : 2

Ratio of surface area = 4πr1² : 4πr2²  

= r1² : r2² = 3² : 2² = 9 : 4

Step-by-step explanation:

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