A right-angled cone (with base radius 5 cm and height 12 cm), as shown in the…

GATE · 2017 · ME · Set 1 · 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.

Cone of base radius 5 cm and height 12 cm lying on the ground with tip P fixed and point Q at the base rim; cone rolls through one full revolution.

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

A.
$\frac{5\pi}{12}$
B.
$\frac{5\pi}{24}$
C.
$\frac{24\pi}{5}$
D.
$\frac{10\pi}{13}$

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