Answer:
319.18 square inches of area needed to be painted.
Step-by-step explanation:
We are given the following in the question:
Diameter of globe = 10.5 inch
[tex]\text{Radius} = \dfrac{\text{Diameter}}{2} = \dfrac{10.5}{2} = 5.25\text{ inch}[/tex]
Area that need not be painted = 27 square inches
Surface area of globe =
[tex]\text{Surface area of sphere}\\= 4\pi r^2\\\text{where r is the radius of sphere}\\S = 4\times 3.14\times (5.25)^2\\S = 346.18\text{ square inches}[/tex]
Area to be painted =
[tex]=\text{Surface area of globe - Area that need not be painted}\\= 346.18 - 27\\=319.18\text{ square inches}[/tex]
Thus, 319.18 square inches of area needed to be painted.
