Question

A silo is built in the shape of a cylinder with a cone for a roof. If the height of the

cylinder is 5 m, the radius is 2.8 m and the slant height of the cone is 6,6 m,
determine the amount of material needed to create the rounded sides and conical
roof, Round to the nearest tenth of a cubic m.

Answer 1

9514 1404 393

Answer:

146.0 m²

Explanation:

The lateral areas of the cylinder and cone are given by the formulas ...

A = πrs . . . . cone area; radius r, slant height s

A = 2πrh . . . . cylinder area; radius r, height h

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The total area lateral area of the silo is ...

A = π(2.8 m)(6.6 m) +2π(2.8 m)(5 m) = π(2.8 m)(6.6 m +2(5 m)) = 46.48π m²

A ≈ 146.0 m² . . . area of sides and roof of silo

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Additional comment

The answer is requested in cubic meters. Area has units of square meters. There is nothing in this problem statement that seems to be requesting a volume, which is what would have units of cubic meters.