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?Enter your answer in the box. cm³
Accepted Solution
A:
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