###### Question 58 (General Aptitude)

A right-angled cone (with base radius 5 cm and height 12 cm) as shown in the figure below, is rolled on the ground keeping the point P fixed until the point Q (at the base of the cone, as shown) touches the ground again.

By what angle (in radius) about P does the cone travel ?

(A) | |

(B) | |

(C) | |

(D) |

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Given in the figure-

radius(r)=5cm

height(h)=12cm

Inclined height(slant height,l)=

l=

l=

l=13 cm

Here, As cone is rolling over circumference 360 deg.

Let the cone angle=

So,

(Ans)