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

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