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

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