Painting Surface Area of Sliced Sphere
XAT 2018 · Quantitative Ability & Data Interpretation · Medium · Quantitative Aptitude
It takes 2 liters to paint the surface of a solid sphere. If this solid sphere is sliced into 4 identical pieces, how many liters will be required to paint all the surfaces of these 4 pieces.
- A.
2.2 liters
- B.
2.5 liters
- C.
3.0 liters
- D.
4.0 liters
- E.
None of the above
D
Explanation
The surface area of a solid sphere of radius is . It takes 2 liters to paint .
When sliced into 4 identical pieces (quarter spheres), 4 circular plane surfaces passing through the center are exposed, each of area . Total area of these 4 exposed circular faces .
So total surface area of the 4 pieces .
Since requires 2 liters, will require liters.
Option D is correct.
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