RRB Group D 17-Dec-2018 Shift 1 Soled Paper

Question : 48 of 100

Marks: +1, -0

Curved surface area of Cone P is seven times the curved surface area of Cone Q. Slant height of Cone Q is seven times the slant height of Cone P. What will be the ratio of the area of the base of Cone P to the area of the base of Cone Q?

49: 1
2401: 1
343: 1
7: 1

Validate

Solution:

Curved surface area of P = 7 x Curved surface area of Q.

⇒πRL=7(πrl)

....(1)
and

l=7L

....(2)

RL=7×rL

RL=7×r×7L

R=49r

Area of base
For

P= πR^2

Q=πr^2

Ratio

=πR^2:πr^2

(49r)^2: r^2

2401: 1

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