SOLUTION: A globe has a surface area of 2700 cm². Andrew wants to estimate the volume of the globe. To do the estimate, he approximates π using 3 in both the surface area and volume for

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Question 1082451: A globe has a surface area of 2700 cm². Andrew wants to estimate the volume of the globe. To do the estimate, he approximates π using 3 in both the surface area and volume formulas for a sphere.
Using this method, what value does he get for the approximate volume of the globe?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Surface area for a globe is,
SA=4pi%2AR%5E2
Volume for a globe is,
V=%284%2F3%29pi%2AR%5E3
So using the approximation for pi,
4%283%29%2AR%5E2=2700
R%5E2=2700%2F12
Solve for R.
.
.
.
So then,
V=%284%2F3%29%283%29R%5E3
V=4R%5E3
Solve for V.