Q7. The height and the radius of the base of a right circular cone are 12 cm respectively. The radius of the circular cross-section of the cone cut by a plane parallel to its base at a distance of 3 cm from the base is

(a) 4 cm

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(b) 5.5 cm

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(d) 3.5 cm

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Solution

The correct option is C
(c) 4.5 cm

$Δ A D F a n d Δ A B G a r e s i m i l a r$

$Δ A D F a n d Δ A B G a r e s i m i l a r \frac{A G}{A F} = \frac{B G}{D F} \frac{12}{9} = \frac{6}{D F} 12 \times D F = 9 \times 6 D F = \frac{9 x 6}{12} = 4.5 c m$

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