The ratio of the surface area of two spheres is 3:2. the volume of the larger sphere 2,916 in^3. what is the volume of the smaller sphere?

Question

Mathematics

Alonzo Fry

10 June, 06:38

The ratio of the surface area of two spheres is 3:2. the volume of the larger sphere 2,916 in^3. what is the volume of the smaller sphere?

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Answers (1)

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Kaliyah Hendricks · Answer 1

V = 4/3 r³ π

2916 = 4/3 r³ · 3.14

r³ = 696.49681

r = ∛696.49681, r (larger) = 8.8642 in

4 r (L) ² π : 4 r (S) ² π = 3 : 2

r S = 0.8164965 r L

r S = 0.8164965 * 8.8642 = 7.2376 in

V (smaller) = 4/2 * 7.2376³ * 3.14 = 1587.269 in³