Question

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?



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cm³

Answer 1

Answer:

13500 is the answer

Answer 2

The surface area is given by:
 A = 4πr ^ 2
 Where,
 r: sphere radio
 Substituting values we have:
 2700 = 4 (3) r ^ 2
 Clearing r we have:
 r = root (2700/12)
 r = 15
 Then, the volume of the sphere is given by:
 V = (4/3) πr ^ 3
 Substituting values:
 V = (4/3) * (3) * (15) ^ 3
 V = 13500 cm ^ 3
 Answer:
 The approximate volume of the globe is:
 V = 13500 cm ^ 3