The interior of a building is in the form of a cylinder of base radius 12 m

Question:

The interior of a building is in the form of a cylinder of base radius 12 m and height 3.5 m, surmounted by a cone of equal base and slant height 12.5 m. Find the internal curved surface area and the capacity of the building.

Solution:

Height of the cone

Capacity (volume) of cone

Capacity (volume) of cylinder

Therefore,

Total capacity of building

Internal curved surface area of the building

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