The volume of a sphere is 3,500π m3. What is the surface area of the sphere to the nearest square meter?

Question

Mathematics

Judd

16 November, 15:21

The volume of a sphere is 3,500π m3. What is the surface area of the sphere to the nearest square meter?

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Answers (1)

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Myles Simmons · Answer 1

2391m^2

V = (4/3) πR^3

A = 4πR^2

Given that V = 3500π m^3, you can determine that

(4/3) R^3 = 3500 m^3

R^3 = 2625 m^3

R = (2625) ^ (1/3) m = about 13.795 m

Now plug that into your equation for A:

A = 4πR^2 = 4π (13.795) ^2 m^2 = about 2391 m^2