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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25-01-2018
Mathematics

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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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bloo056 bloo056 · Answer 1 · 2018-02-02T16:45:06+01:00

bloo056 bloo056

02-02-2018

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

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