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
• B. $25$ m
• C. $13$ m
• D. $5$ m

Answer 1

Answer: (C)

$13$ m

Diameter of cylinder is $24$ m
So radius will be $12$ m
Height of cylinder is $11$m and the vertex of the cone is $16$ m.
So, height of cone is $5$ m.
The slant height of the cone is
$\sqrt{{12}^2+5^2}=\sqrt{144+25}$
$\sqrt{169}=13$