SOLUTION: The great circle has an area of 289pie square feet. Calculate the surface area and volume.

Algebra ->  Surface-area -> SOLUTION: The great circle has an area of 289pie square feet. Calculate the surface area and volume.      Log On


   

Question 892608: The great circle has an area of 289pie square feet.
Calculate the surface area and volume.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
A = pi*r^2

289pi = pi*r^2

289 = r^2

r^2 = 289

r = sqrt(289)

r = 17

The radius of this sphere is 17 feet.

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Surface Area:

SA = 4pi*r^2

SA = 4pi*17^2

SA = 1156pi

The exact surface area of this sphere is 1156pi

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Volume:

V = (4/3)pi*r^3

V = (4/3)pi*17^3

V = (19652/3)pi

The exact volume of this sphere is (19652/3)pi