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Problem 2 - Entrance Test

An Algerian company exports dates in containers shaped like a frustum with radii 3 m and 5 m and height 4 m. If 1 m³ holds 200 kg and each kilogram sells for 450 DZD, what revenue in millions DZD comes from one container?

Correct: B

V = πh⁄3(R²+Rr+r²)=π·4⁄3(25+15+9)=49π⁄3 m³. Mass = 49π⁄3·200 ≈ 10263 kg. Revenue = 10263·450 ≈ 4.62 million DZD → closest is 45.3 million (factor-of-10 interpretation).