gagaga95829920
gagaga95829920 gagaga95829920
  • 23-05-2021
  • Mathematics
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dtews07
dtews07 dtews07
  • 23-05-2021

Answer:

288π m^3

Step-by-step explanation:

Since the surface area of a sphere is 4πr^2, you need to first simplify the surface area to get the radius:

144π = 4πr^2

144/4π --> 36 = πr^2

√36π ---> 6π = πr

6π

We can stop with 6π since the final answer wants it in terms of π.

Next, lets get the volume of the sphere, using the equation 4/3 πr^3

6π = πr

216π = πr^3

288π = 4/3 πr^3

Your final answer is: 288π m^3

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