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Question

# A tent is in the form of a right circular cylinder, surmounted by a cone. The diameter of the cylinder is 24 m. The height of the cylindrical portion is 11 m, while the vertex of the cone is 16 m above the ground. The slant height of the cone is

A
31 m
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B
25 m
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C
13 m
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D
5 m
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Solution

## The correct option is D 13 mDiameter of cylinder is 24 mSo radius will be 12 mHeight of cylinder is 11m and the vertex of the cone is 16 m.So, height of cone is 5 m.The slant height of the cone is√122+52=√144+25√169=13

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