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.

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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
Hence, internal curved surface area of the building is $735.43 m^{2}$

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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.

Height of the coneCapacity (volume) of coneCapacity (volume) of cylinderTherefore,Total capacity of buildingInternal curved surface area of the buildingHence, internal curved surface area of the building is 735.43m2

Height of the cone
Capacity (volume) of cone
Capacity (volume) of cylinder
Therefore,
Total capacity of building
Internal curved surface area of the building
Hence, internal curved surface area of the building is $735.43 m^{2}$