XAT 2018 Geometry & Mensuration Question (Medium)

Question

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.

Optima Learn · Accepted Answer

Let the radius of the sphere be r. Original surface area of the sphere S 4 pi r 2 Given paint needed for area 4 pi r 2 is 2 liters. Now the sphere is sliced into 4 identical pieces. This happens by cutting with 2 perpendicular planes through the center, creating 4 identical pieces. Each piece has Sp

XAT 2018 Geometry & Mensuration — Previous Year Question

XAT 2018

Quantitative

Geometry & Mensuration

Medium

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